Totally geodesic hypersurfaces in manifolds of nonpositive curvature.
Viktor Schroeder, Sebastian Goette (1995)
Manuscripta mathematica
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Viktor Schroeder, Sebastian Goette (1995)
Manuscripta mathematica
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Gual-Arnau, X., Masó, R. (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Kim, Hyang Sook, Pyo, Yong-Soo (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Miguel Ortega, Juan de Dios Pérez, Young Jin Suh (2000)
Czechoslovak Mathematical Journal
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We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.
Miguel Ortega, Juan de Dios Pérez, Young Jin Suh (2006)
Czechoslovak Mathematical Journal
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In this paper we classify real hypersurfaces with constant totally real bisectional curvature in a non flat complex space form , as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].
Gregory Galloway (1997)
Banach Center Publications
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Bang-Yen Chen (2002)
Archivum Mathematicum
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First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.