• Title/Summary/Keyword: L-flat

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RIGIDITY OF MINIMAL SUBMANIFOLDS WITH FLAT NORMAL BUNDLE

  • Seo, Keom-Kyo
    • Communications of the Korean Mathematical Society
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    • v.23 no.3
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    • pp.421-426
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    • 2008
  • Let $M^n$ be a complete immersed super stable minimal submanifold in $\mathbb{R}^{n+p}$ with fiat normal bundle. We prove that if M has finite total $L^2$ norm of its second fundamental form, then M is an affine n-plane. We also prove that any complete immersed super stable minimal submanifold with flat normal bundle has only one end.

RIGIDITY CHARACTERIZATIONS OF COMPLETE RIEMANNIAN MANIFOLDS WITH α-BACH-FLAT

  • Huang, Guangyue;Zeng, Qianyu
    • Journal of the Korean Mathematical Society
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    • v.58 no.2
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    • pp.401-418
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    • 2021
  • For complete manifolds with α-Bach tensor (which is defined by (1.2)) flat, we provide some rigidity results characterized by some point-wise inequalities involving the Weyl curvature and the traceless Ricci curvature. Moveover, some Einstein metrics have also been characterized by some $L^{\frac{n}{2}}$-integral inequalities. Furthermore, we also give some rigidity characterizations for constant sectional curvature.

Effect of Electron Acceptor on Anaerobic Toluene Biodegradation in Rice Field and Tidal Mud Flat (논과 갯벌에서 톨루엔의 혐기성 생분해에 미치는 전자수용체의 영향)

  • 조경숙
    • Microbiology and Biotechnology Letters
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    • v.31 no.2
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    • pp.197-200
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    • 2003
  • In oil-contaminated environments, anaerobic biodegradation of toluene depended on the concentration and distribution of terminal electron acceptor as well as the physicochemical properties such as DO concentration, redox potential and pH. This study showed the anaerobic biodegradation of toluene in two different soils by using nitrate reduction, ferric iron reduction, sulfate reduction and methanogensis. Toluene degradation rates in the soil samples taken from rice filed and tidal mud flat by nitrate reduction were higher than those by other processes. Tho soil samples from the two fields were enriched for 130 days by providing toluene as a sole carbon source and nitrate or sulfate as a terminal electron acceptor. The toluene degradation rates in the enriched denitrifying consortia obtained from the rice field and tidal mud flat soil were 310.7 and 200.6 $\mu$mol$ L^{-1}$ / $d^{-1}$, respectively. The toluene (legradation rates in the enriched sulfate-reducing consortia from the fields ranged fi-om 149.1 to 86.1$\mu$mol $L^{-1}$ / $d^{-1}$ .

On the projectively flat finsler space with a special $(alpha,beta)$-metric

  • Kim, Byung-Doo
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.407-413
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    • 1996
  • The $(\alpha, \beta)$-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-form $\Beta$; it has been sometimes treat in theoretical physics. In particular, the projective flatness of Finsler space with a metric $L^2 = 2\alpha\beta$ is considered in detail.

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Flat-panel CRT with channel guides

  • Vissenberg, M.C.J.M.;Ijzerman, W.L.;Cortenraad, H.M.R.;Hiddink, M.G.H.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2003.07a
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    • pp.126-129
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    • 2003
  • Electron beam guides hold the promise of a flat-panel display based on CRT technology. We propose to integrate the periodic focusing electrodes of such beam guides on a glass channel plate for a robust and simple design. The feasibility of this idea is tested numerically and experimentally.

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Changes in density and culture conditions of the Manila Clam Ruditapes philippinarum on the West coast of Korea (서해안 바지락 양식장의 서식환경과 서식밀도의 변화)

  • Park, Kwang-Jae;Song, Jae-Hee;Choi, Yoon-Seok;An, Kyoung-Ho
    • The Korean Journal of Malacology
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    • v.29 no.3
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    • pp.207-216
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    • 2013
  • Changes in density of manila clam, Ruditapes philippinarum to environment, catch and recruitment were studied in a few stations (Seonjae, Seongam, Hwangdo and Padori) in the West coast area of Korea from January, 2007 to December, 2009. Water temperature, salinity, dissolved oxygen and pH in the study stations were 0.8 to $31.2^{\circ}C$, 22.1 to 33.7 psu, 5.0 to 12.0 mg/L and 7.39 to 8.99, respectively. The concentrations of dissolved inorganic nitrogen, phosphate and silicate were 0.016 to 1.281 mg/L, 0.004 to 0.093 mg/L and 0.016 to 1.617 mg/L, respectively. Chlorophyll-a ranged from 0.2 to 12.1 ${\mu}g/L$, respectively. Substrata were mainly composed of muddy sand and very poorly sorted in Padori, muddy sand and well sorted in Seonjae and Hwangdo, gravelly muddy sand and poorly sorted in Seongam. Density was high in Seonjae and Seongam, but low in Hwangdo and Padori. In clam culture station, in which spat was naturally produced without sowing seedlings, the living density was decreased by increasing of death and a catch of shellfish, and recruitment was changed. Also, Density affected condition factor and shape of clam. Condition factor was the highest in Hwangdo, in which temperature in the winter and chlorophyll-a were high, and was the lowest in Padori. In the shape of clam, the shape in Seongam was a elongated form, but in Padori was a stunted form.

Heat Transfer Measurements by a Round Impinging Jet on a Rib-Roughened Flat Plate (표면조도를 가진 평판에서 원형충돌제트에 의한 열전달 측정)

  • Lee, Dae-Hee;Kim, Yun-Taek;Chung, Seung-Hun;Chung, Young-Suk
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.87-92
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    • 2000
  • This study is to investigate the heat transfer characteristics the for a round turbulent jet impinging on the flat plate with and without rib. Liquid crystal/transient method was used to determine the Nusselt number distributions along the surface. The temperature on the surface was measured using liquid crystal and a digital color image processing system. The experiments were made fur the jet Reynolds number (Re) 23,000, the dimensionless nozzle-to-surface distance (L/d) from 2 to 10, and the rib type [height ($d_1$) 2mm, pitch (p) from 12 to 36mm]. It was found that for $L/d{\ge}6$ the average Nusselt numbers on the flat plate with rib type C ($p/d_1=16$) are higher than those without rib, mainly due to an increase in the turbulent intensity caused by flow separation, recirculation and reattachment on the wall surface.

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An Experimental Study of Local Mass Transfer Characteristics on Inclined Flat Plate (경사진 평판에서의 국소물질전달 특성에 관한 실험적 연구)

  • Yoo, Seong-Yeon;Jo, Woo-Sik;Cho, Woong-Sun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.35 no.12
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    • pp.1335-1341
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    • 2011
  • The purpose of this research is to investigate how separated and reattached flow affects mass transfer, by comparing the local mass transfer characteristics on an inclined flat plate with those on a parallel flat plate. The local mass transfer coefficients for the flat plate were measured using the naphthalene sublimation technique; the inclined angle of the flat plate was varied from $-10^{\circ}$ to $10^{\circ}$ at $5^{\circ}$ intervals, and the free-stream velocity was varied from 2m/s to 15m/s. At positive inclined angles, the local Sherwood numbers decreased gradually because the boundary-layer thickness increased. On the other hand, for negative inclined angles, the local Sherwood numbers assumed the minimum value at the separation point of the recirculation flow and the maximum value at the reattachment point. The average Sherwood numbers for both positive and negative inclined angles were lower than those in the case of the parallel plate.

Implications of the Recent Benthec Foraminifera in Gwangyang Bay, Korea (光陽 에서의 現생底棲 有孔蟲에 관한 硏究)

  • 장순권
    • 한국해양학회지
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    • v.21 no.1
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    • pp.1-12
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    • 1986
  • A total of 40 surface samples(12 from the intertidal flat and 28 from the subtidal zone) from Gwangyang Bay, southern coast of the Korean Peninsula show a strong negative relationship between the total foraminiferal abundance and the ratios of the live to the total(L/T) assemblages. This suggests that the foraminiferal abundance is dependent on the dilution due to the input of detrital sediments, and that the L/T ratios show the relative rate of sedimentation in the study area. The intertidal flat and delta area are characterized by the relatively high sedimentation compared to the inner bay and shallow subtidal zone, and three major tidal channels where relatively low and no sedimentation is noted, respectively. Bathymetric occurrence of the species shows distinct boundaries at 9m, and between 21 and 30m, respectively. Cluster analysis shows three biotopes;intertidal flat including delay, inner bay and shallow subtidal zone, and major tidal channels. This suggests that these biotopes are formed by the ecology of the foraminifers as well as by the sedimentological setting of the study area. Several problems in relation to the relative rate of sedimentation inferred from the L/T ratios are briefly discussed.

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Methods of punching shear strength analysis of reinforced concrete flat plates-A comparative study

  • Loo, Y.C.;Chiang, C.L.
    • Structural Engineering and Mechanics
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    • v.1 no.1
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    • pp.75-86
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    • 1993
  • The punching shear strength of concrete flat plates is one of the topics of intensive research in recent years by various concrete structures researchers. This paper reviews four current methods of analysing the punching shear strength at the corner-and edge-column positions of reinforced concrete flat plates. They include those recommended in the Australian Standard AS3600-1988, the American Concrete Institute ACI318-89 and the British Standard on Concrete Practices (BS8110) as well as the approach developed at the University of Wollongong, Australia. Based on half-scale model test results, a comparative study of these four analysis methods is made with regard to their limitation, accuracy and reliability. It is found that the Wollongong approach in general gives the best performance in predicting the punching shear strength of flat plates with torsion strips and those with spandrel beams. The Australian Standard procedure performs just as satisfactorily for flat plates with torsion strips but tends to be unsafe for those with spandrel beams. Both the ACI and the British methods are applicable only to flat plates with torsion strips; they also tend to give unsafe predictions for the punching shear strength.