• Title/Summary/Keyword: complex space

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FIBRED RIEMANNIAN SPACE WITH ALMOST COMPLEX STRUCTURES

  • Choi, Jin-Hyuk;Kang, Il-Won;Kim, Byung-Hak;Shin, Yang-Mi
    • Journal of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.171-185
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    • 2009
  • We study fibred Riemannian spaces with almost complex structures which are induced by the almost complex structure or the almost contact structure on the base and fibre. We show that if the total space is a complex space form, then the total space is locally Euclidean. Moreover, we deal with the fibred Riemannian space with various Kaehlerian structures.

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

  • Pyo, Yong-Soo
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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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
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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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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On characterizations of real hypersurfaces of type B in a complex hyperbolic space

  • Ahn, Seong-Soo;Suh, Young-Jin
    • Journal of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.471-482
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    • 1995
  • A complex n-dimensional Kaehlerian manifold of constant holomorphic sectional curvature c is called a comples space form, which is denoted by $M_n(c)$. A complete and simply connected complex space form consists of 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. The induced almost contact metric structure of a real hypersurface M of $M_n(c)$ is denoted by $(\phi, \zeta, \eta, g)$.

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On real hypersurfaces of a complex hyperbolic space

  • Kang, Eun-Hee;Ki, U-Hang
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.173-184
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    • 1997
  • An n-dimensional complex space form $M_n(c)$ is a Kaehlerian manifold of constant holomorphic sectional curvature c. As is well known, complete and simply connected complex space forms are 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.

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Totally real submanifolds with parallel mean curvature vector in a complex space form

  • Ki, U-Hang;Kim, Byung-Hak;Kim, He-Jin
    • Journal of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.835-848
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    • 1995
  • Let $M_n$(c) be an n-dimensional complete and simply connected Kahlerian manifold of constant holomorphic sectional curvature c, which is called a complex space form. Then according to c > 0, c = 0 or c < 0 it is a complex projective space $P_nC$, a complex Euclidean space $C^n$ or a complex hyperbolic space $H_nC$.

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SPACE STRUCTURE ANALYSIS OF COMPLEX CULTURE SHOPPING FACILITY.

  • Jae-Hong Hwang;Byung-ju Ank;Whoi-yul Kim;Jae-Joon Kim
    • International conference on construction engineering and project management
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    • 2009.05a
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    • pp.1128-1133
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    • 2009
  • Recently super complex culture shopping facility development seeks consumer' convenience present and are coming restaurant neighborhood, cinema, shopping, hotel etc, according to intensive plan. Such as complex culture shopping facility was developed to most subway station area center and have concept that is space for a main facilities or space for environment protection, citizens' a rest in city. Howeve,r space of recently domestic large size complex culture shopping facility that do not plan systematically was lacking and caused result that do not use efficiently space. Limited extent of research that define complex culture shopping equipment and analyze form of space and present space planning with analysis of research connected with complex usage development.

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KAEHLER SUBMANIFOLDS WITH RS=0 IN A COMPLEX PROJECTIVE SPACE

  • Hyun, Jong-Ik
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.685-690
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    • 1997
  • Our study focuses on the condition under which a subspace of complex projective space can become an Einstein space. We prove that a subspace becomes an Einstein space if it's codimension is less than n-1 and its curvature tensor and Ricci tensor satisfies Ryan's condition.

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