• 제목/요약/키워드: projective

검색결과 596건 처리시간 0.021초

ON REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM (II)

  • Pyo, Yong-Soo
    • 대한수학회논문집
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    • 제9권2호
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    • pp.369-383
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    • 1994
  • A complex n-dimensional Kahler manifold of constant holomorphic sectional curvature c is called a complex space form, which is denoted by $M_{n}$ (c). A complete and simply connected complex space form consists of a complex projective space $P_{n}$ C, a complex Euclidean space $C^{n}$ or a complex hyperbolic space $H_{n}$ C, according as c > 0, c = 0 or c < 0.(omitted)

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Characterizations of some real hypersurfaces in a complex space form in terms of lie derivative

  • Ki, U-Hang;Suh, Young-Jin
    • 대한수학회지
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    • 제32권2호
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    • pp.161-170
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    • 1995
  • A complex $n(\geq 2)$-dimensional Kaehlerian manifold of constant holomorphic sectional curvature c is called a complex space form, which is denoted by $M_n(c)$. A complete and simply connected complex space form is a complex projective space $P_nC$, a complex Euclidean space $C^n$ or a complex hyperbolic space $H_nC$, according as c > 0, c = 0 or c < 0. Takagi [12] and Berndt [2] classified all homogeneous real hypersufaces of $P_nC$ and $H_nC$.

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EMBEDDING OF THE TEICHMULLER SPACE INTO THE GOLDMAN SPACE

  • Kim, Hong-Chan
    • 대한수학회지
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    • 제43권6호
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    • pp.1231-1252
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    • 2006
  • In this paper we shall explicitly calculate the formula of the algebraic presentation of an embedding of the Teichmiiller space ${\Im}(M)$ into the Goldman space g(M). From this algebraic presentation, we shall show that the Goldman's length parameter on g(M) is an isometric extension of the Fenchel-Nielsen's length parameter on ${\Im}(M)$.

JOINING OF CIRCUITS IN PSL(2, ℤ)-SPACE

  • MUSHTAQ, QAISER;RAZAQ, ABDUL
    • 대한수학회보
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    • 제52권6호
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    • pp.2047-2069
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    • 2015
  • The coset diagrams are composed of fragments, and the fragments are further composed of circuits at a certain common point. A condition for the existence of a certain fragment ${\gamma}$ of a coset diagram in a coset diagram is a polynomial f in ${\mathbb{Z}}$[z]. In this paper, we answer the question: how many polynomials are obtained from the fragments, evolved by joining the circuits (n, n) and (m, m), where n < m, at all points.

REMARKS ON CONFORMAL TRANSFORMATION ON RIEMANNIAN MANIFOLDS

  • Kim, Byung-Hak;Choi, Jin-Hyuk;Lee, Young-Ok
    • Journal of applied mathematics & informatics
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    • 제27권3_4호
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    • pp.857-864
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    • 2009
  • The special conformally flatness is a generalization of a sub-projective space. B. Y. Chen and K. Yano ([4]) showed that every canal hypersurface of a Euclidean space is a special conformally flat space. In this paper, we study the conditions for the base space B is special conformally flat in the conharmonically flat warped product space $B^n{\times}f\;R^1$.

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A Class of Lorentzian α-Sasakian Manifolds

  • Yildiz, Ahmet;Turan, Mine;Murathan, Cengizhan
    • Kyungpook Mathematical Journal
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    • 제49권4호
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    • pp.789-799
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    • 2009
  • In this study we consider ${\varphi}$-conformally flat, ${\varphi}$-conharmonically flat, ${\varphi}$-projectively at and ${\varphi}$-concircularly flat Lorentzian ${\alpha}$-Sasakian manifolds. In all cases, we get the manifold will be an ${\eta}$-Einstein manifold.

Characterizations of Several Modules Relative to the Class of B(M, X)

  • Talebi, Yahya;Hosseinpour, Mehrab
    • Kyungpook Mathematical Journal
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    • 제53권1호
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    • pp.37-47
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    • 2013
  • Let M and X be right R-modules. We introduce several modules relative to the class of B(M, X) and we investigate relation among these modules. In this note, we show if M is X-${\oplus}$-supplemented such that $M=M_1{\oplus}M_2$ implies $M_1$ and $M_2$ are relatively B-projective, then M is an X-H-supplemented module.

Geometry-based quality metric for multi-view autostereoscopic 3D display

  • Saveljev, Vladimir;Son, Jung-Young;Kwack, Kae-Dal
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2009년도 9th International Meeting on Information Display
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    • pp.1014-1017
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    • 2009
  • The analytical expression for quality function is found including the dependence on disparity. The problem is considered in the projective coordinates for which the forward and backward transformation matrices are found. The formation of side observer regions is considered. The probability of the pseudo stereo effect is also estimated. Testing patterns are improved in order to provide higher accuracy of measurements. This is confirmed in experiments.

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평면 투영 변환에 의한 영상 정렬 (Image Alignment using Planer Projective Transformation)

  • 김동근;김주완;장병태
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2000년도 추계학술발표논문집 (하)
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    • pp.1645-1648
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    • 2000
  • 본 논문에서는 영상의 일부가 겹치는 두 영상사이에 투영 평면 변환을 사용하여 보다 큰 한 장의 모자익 영상으로 정렬하는 알고리즘을 제한한다. 먼저 블록 정합을 이용하여 초기전역 이동을 계산하고, 4점을 이용하여 효율적인 투영 변환을 구하고, 두 영상사이에 겹치는 부분에서 RGB 컬러를 혼합하여 합성 영상을 생성하였다.

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TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA-WEBSTER CONNECTION

  • Kazan, Ahmet;Karadag, H.Bayram
    • 호남수학학술지
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    • 제40권3호
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    • pp.487-508
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    • 2018
  • In this study, we use the generalized Tanaka-Webster connection on a trans-Sasakian manifold of type (${\alpha},{\beta}$) and obtain the curvature tensors of a trans-Sasakian manifold with respect to this connection. Also, we investigate some special curvature conditions of a trans-Sasakian manifold with respect to generalized Tanaka-Webster connection and finally, give an example for trans-Sasakian manifolds.