• 제목/요약/키워드: normal bundle

검색결과 90건 처리시간 0.027초

MYLLER CONFIGURATIONS IN FINSLER SPACES. APPLICATIONS TO THE STUDY OF SUBSPACES AND OF TORSE FORMING VECTOR FIELDS

  • Constantinescu, Oana
    • 대한수학회지
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    • 제45권5호
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    • pp.1443-1482
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    • 2008
  • In this paper we define a Myller configuration in a Finsler space and use some special configurations to obtain results about Finsler subspaces. Let $F^{n}$ = (M,F) be a Finsler space, with M a real, differentiable manifold of dimension n. Using the pull back bundle $({\pi}^{*}TM,\tilde{\pi},\widetilde{TM})$ of the tangent bundle $(TM,{\pi},M)$ by the mapping $\tilde{\pi}={\pi}/TM$ and the Cartan Finsler connection of a Finsler space, we obtain an orthonormal frame of sections of ${\pi}^{*}TM$ along a regular curve in $\widetilde{TM}$ and a system of invariants, geometrically associated to the Myller configuration. The fundamental equations are written in a very simple form and we prove a fundamental theorem. Important lines in a Finsler subspace are defined like special lines in a Myller configuration, geometrically associated to the subspace: auto parallels, lines of curvature, asymptotes. Torse forming vector fields with respect to the Cartan Finsler connection are characterized by means of the invariants of the Frenet frame of a versor field along a curve, and the new notion of torse forming vector fields in the sense of Myller is introduced. The particular cases of concurrence and parallelism in the sense of Myller are completely studied, for vector fields from the distribution $T^m$ of the Myller configuration and also from the normal distribution $T^p$.

A NOTE ON SPECTRAL CHARACTERIZATIONS OF COSYMPLECTIC FOLIATIONS

  • Park, Jin-Suk;Cho, Kwan-Ho;Sohn, Won-Ho;Lee, Jae-Don
    • 대한수학회논문집
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    • 제9권4호
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    • pp.917-926
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    • 1994
  • Let ($M, G_M, F$) be a (p+q)-dimensional Riemannian manifold with a foliation F of codimension q and a bundle-like metric $g_M$ with respect to F ([9]). Aside from the Laplacian $\bigtriangleup_g$ associated to the metric g, there is another differnetial operator, the Jacobi operator $J_D$, which is a second order elliptic operator acting on sections of the normal bundle. Its spectrum isdiscrete as a consequence of the compactness of M. The study of the spectrum of $\bigtriangleup_g$ acting on functions or forms has attracted a lot of attention. In this point of view, the present authors [7] have studied the spectrum of the Laplacian and the curvature of a compact orientable cosymplectic manifold. On the other hand, S. Nishikawa, Ph. Tondeur and L. Vanhecke [6] studied the spectral geometry for Riemannian foliations. The purpose of the present paper is to study the relation between two spectra and the transversal geometry of cosymplectic foliations. We shall be in $C^\infty$-category. Manifolds are assumed to be connected.

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A NOTE ON SURFACES IN THE NORMAL BUNDLE OF A CURVE

  • Lee, Doohann;Yi, HeungSu
    • 충청수학회지
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    • 제27권2호
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    • pp.211-218
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    • 2014
  • In 3-dimensional Euclidean space, the geometric figures of a regular curve are completely determined by the curvature function and the torsion function of the curve, and surfaces are the fundamental curved spaces for pioneering study in modern geometry as well as in classical differential geometry. In this paper, we define parametrizations for surface by using parametric functions whose images are in the normal plane of each point on a given curve, and then obtain some results relating the Gaussian curvature of the surface with curvature and torsion of the given curve. In particular, we find some conditions for the surface to have either nonpositive Gaussian curvature or nonnegative Gaussian curvature.

NORMAL SYSTEMS OF COORDINATES ON MANIFOLDS OF CHERN-MOSER TYPE

  • Schmalz, Gerd;Spiro, Andrea
    • 대한수학회지
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    • 제40권3호
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    • pp.461-486
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    • 2003
  • It is known that the CR geometries of Levi non-degen-erate hypersurfaces in $\C^n$ and of the elliptic or hyperbolic CR submanifolds of codimension two in $\C^4$ share many common features. In this paper, a special class of normalized coordinates is introduced for any CR manifold M which is one of the above three kinds and it is shown that the explicit expression in these coordinates of an isotropy automorphism $f{\in}Aut(M)_o {\subset}Aut(M),\;o{\in}M$, is equal to the expression of a corresponding element of the automorphism group of the homogeneous model. As an application of this property, an extension theorem for CR maps is obtained.

공기-횡 유동장에 놓인 유연성 실린더 관군의 유체탄성 불안정 (Fluidelastic Instability of Flexible Cylinders in Tube Bundle Subjected to Cross Air-flow)

  • 심우건
    • 한국소음진동공학회논문집
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    • 제17권6호
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    • pp.498-506
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    • 2007
  • Using wind tunnel, experimental approaches were employed to investigate fluidelastic instability of tube bundles, subjected to uniform cross flow. There are several flow-induced vibration excitation mechanisms, such as fluidelastic instability, periodic wake shedding resonance, turbulence-induced excitation and acoustic resonance, which could cause excessive vibration in shell-and tube heat exchanges. Fluidelastic is the most important vibration excitation mechanism for heat exchanger tube bundles subjected to cross flow. The system comprised of cantilevered flexible cylinder(s) and rigid cylinders of normal square array, In order to see the characteristics of flow in tube bundles, particle image velocimetry was used. From a practical design point of view, Fluidelastic instability may be expressed simply in terms of dimensionless flow velocity and dimensionless mass-damping. The threshold flow velocity for dynamic instability of cylinder rows is evaluated and the data for design guideline is proposed for the tube bundles of normal square array.

Prognostic Significance of Left Axis Deviation in Acute Heart Failure Patients with Left Bundle branch block: an Analysis from the Korean Acute Heart Failure (KorAHF) Registry

  • Choi, Ki Hong;Han, Seongwook;Lee, Ga Yeon;Choi, Jin-Oh;Jeon, Eun-Seok;Lee, Hae-Young;Lee, Sang Eun;Kim, Jae-Joong;Chae, Shung Chull;Baek, Sang Hong;Kang, Seok-Min;Choi, Dong-Ju;Yoo, Byung-Su;Kim, Kye Hun;Cho, Myeong-Chan;Park, Hyun-Young;Oh, Byung-Hee
    • Korean Circulation Journal
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    • 제48권11호
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    • pp.1002-1011
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    • 2018
  • Background and Objectives: The prognostic impact of left axis deviation (LAD) on clinical outcomes in acute heart failure syndrome (AHFS) with left bundle branch block (LBBB) is unknown. The aim of this study was to determine the prognostic significance of axis deviation in acute heart failure patients with LBBB. Methods: Between March 2011 and February 2014, 292 consecutive AHFS patients with LBBB were recruited from 10 tertiary university hospitals. They were divided into groups with no LAD (n=189) or with LAD (n=103) groups according to QRS axis <-30 degree. The primary outcome was all-cause mortality. Results: The median follow-up duration was 24 months. On multivariate analysis, the rate of all-cause death did not significantly differ between the normal axis and LAD groups (39.7% vs. 46.6%, adjusted hazard ratio, 1.01; 95% confidence interval, 0.66, 1.53; p=0.97). However, on the multiple linear regression analysis to evaluate the predictors of the left ventricular ejection fraction (LVEF), presence of LAD significantly predicted a worse LVEF (adjusted beta, -3.25; 95% confidence interval, -5.82, -0.67; p=0.01). Right ventricle (RV) dilatation was defined as at least 2 of 3 electrocardiographic criteria (late R in lead aVR, low voltages in limb leads, and R/S ratio <1 in lead V5) and was more frequent in the LAD group than in the normal axis group (p<0.001). Conclusions: Among the AHFS with LBBB patients, LAD did not predict mortality, but it could be used as a significant predictor of worse LVEF and RV dilatation (Trial registry at KorAHF registry, ClinicalTrial.gov, NCT01389843).

완전히 발달된 맨봉주위의 난류유동장에서 난류 응력사이의 상관 관계에 대한 연구 (Study on the Relationship Between Turbulent Normal Stresses in the Fully Developed Bare Rod Bundle Flow)

  • Lee, Kye-Bock;Lee, Byung-Jin
    • Nuclear Engineering and Technology
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    • 제27권6호
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    • pp.888-893
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    • 1995
  • 맨봉 배열에 의해 형성되는 부수로를 흐르는 난류 유동장의 구조는 피치 대 봉직경의 비에 따라 변하게 된다. 피치 대 봉직경 비가 큰 경우에는 난류 응력 분포가 관 유동의 분포와 유사하다 그러나 피치 대 봉직경 비가 작은 경우에는 특히 간극 영역에서 난류 특성이 관 유동의 분포와는 달라진다. 완전히 발달된 맨봉 주위의 난류 유동장에서 난류응력과 난류운동에너지 사이의 선형 관계가 개발되었다. 개발된 상관 관계식은 난류 연구에 응용되는 여러 이론적 분석에 연관지어 사용될 수 있다.

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동종건을 이용한 단일 절개, 단일 다발 후방십자인대 재건술의 비교 (Comparison of Single-Incision, Single-Bundle Posterior Cruciate Ligament Reconstruction Using Allograft Tendon)

  • 경희수;천상호;박경현;정재욱
    • 대한관절경학회지
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    • 제16권2호
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    • pp.107-113
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    • 2012
  • 목적: 아킬레스건과 전경골건 동종건을 이용하여 인대 잔여물을 최대한 보존하면서 단일 절개, 단일 다발 후방십자인대 재건술 시행 후 결과를 비교하였다. 대상 및 방법: 후방십자인대 재건술을 받은 26명이 포함되었다. 남자 21명, 여자 5명이었으며 평균 나이는 32세였다. 사용된 이식건은 신선 동결 아킬레스건(제I군, 14예), 전경골건(제II군, 12예)이었으며, 단일 절개, 단일 다발로 인대 잔여물을 최대한 보존하면서 관절경적 후방십자인대 재건술을 시행하였다. 임상평가는 관절운동범위, 후방전위검사, Lysholm 점수, Tegner 활동지수, International Knee Documentation Committee (IKDC) 등급 및 후방전위 긴장방사선 검사를 이용하여 전위 정도를 평가하였다. 평균 추시기간은 21.6개월(12-40개월)이었다. 동반손상은 내측측부인대 파열이 5예 있었으나 모두 보존치료로 호전되었다. 결과: 최종 추시 시 관절운동범위는 24예는 정상이었으나 2예에서 $10^{\circ}$ 미만의 굴곡장애가 있었다. 수술 전 후방전위검사에서 grade II가 17예, grade III가 9예 있었으나, 최종 추시 시 정상 13예, grade I 7예, grade II 6예이었다. Lysholm 점수는 수술 전 평균 62점에서 최종 추시 시 90점으로 호전되었으며, Tegner 활동지수는 수술 전 평균 3.5에서 최종 추시 시 5.6으로 호전되었다. IKDC 등급은 최종 추시 시 grade A 3예, grade B 17예, grade C 6예이었다. 후방전위 긴장방사선 소견상 수술 전 후방전위는 평균 12 mm에서 수술 후 4.5 mm로 호전되었다. 양군 간에 임상적 결과에는 통계적으로 차이가 없었다. 합병증으로 아킬레스건을 사용한 군에서 건-골 이행부의 파열이 2예 있었다. 결론: 동종 아킬레스건과 전경골건을 이용하여 단일 절개, 단일 다발 후방십자인대 재건술은 양군 간에 임상적으로 차이 없이 좋은 결과를 얻었으나 아킬레스건 사용군에서 재파열이 더 많았으며, 더 많은 증례로 장기간의 추시가 필요할 것으로 사료된다.

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습지 수제부에서 삽목방법에 따른 갯버들 생장율 및 토양 유실 억제 효과 (The Growth Rate of Salix Gracilistyla Miq. and its Effect of Protecting Soil from Dispersion Depending on the Planting Method Applied to Shore-marginal Slope)

  • 이춘석;류남형
    • 한국환경복원기술학회지
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    • 제6권3호
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    • pp.56-68
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    • 2003
  • The main purpose of this study was to verify the shore margin protection effect of the root system of Salix gracilistyla Miq. developed from direct sticking cuttings on wetland, through the measurement of root growth and comparison of soil slaking rate depending on the planting method applied to shore-marginal slope. Comparison of growth rate and soil dispersion rate was made between five planted slope and one naked slope. The planting methods applied to the planted slope were (a) horizontally layed burying of stick(45cm) bundle (b) horizontally layed covering the slope with sticks (c) horizontally fencing with normal cuttings(20cm) (d) elected sticking of normal cutting at equal distances (e) random scattering short cuttings(3-4cm). As results, the most effective planting method was horizontally layed burying, and in order to increase its efficiency scattering the live stem chips in 2-3cm on the slope is recommended. The growth of root was negatively regressive to the distance from water floor.

균질 2상 유동에 놓인 관군에 작용하는 감쇠비에 대한 실험적 연구 (Experimental Study about Two-phase Damping Ratio on a Tube Bundle Subjected to Homogeneous Two-phase Flow)

  • 심우건;닥단방즈락츠
    • 대한기계학회논문집B
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    • 제41권3호
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    • pp.171-181
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    • 2017
  • 2상 횡 유동은 응축기, 증발기와 원자력의 증기 발생기와 같은 열교환기의 튜브와 셀 사이에 존재한다. 공기/물의 2상 유동에 놓인 관군에 작용하는 항력을 실험적으로 평가하였다. 2상 유동에 놓인 관군은 정사각형 배열이다. 피치 직경 비는 1.35이었고, 실린더의 직경은 18 mm이다. 관군에 유동방향으로 작용하는 항력을 측정하여 항력계수와 2상 유동 감쇠비를 계산하였다. 2상 유동 감쇠비는 균질 2상 유동의 이론식을 사용하여 구하여 실험의 결과와 비교하였다. 압력과 항력의 상관계수를 실험결과를 고려하여 평가하였다. 상관계수는 이론적으로 항력을 계산할 때에 사용된다. 질량유량을 증가할수록 측정된 항력으로부터 구한 항력계수와 감쇠비가 균질 유동의 이론적 결과와 잘 일치함을 보이고 있다. 결과적으로 충분히 큰 질량 유량의 기포 유동인 경우에는 감쇠비를 균질 유동에 근거한 이론식으로 계산할 수 있다.