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Displaying similar documents to “Totally geodesic hypersurfaces in manifolds of nonpositive curvature.”

Real hypersurfaces with constant totally real bisectional curvature in complex space forms

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 M m ( c ) , c ≠ 0 as those which have constant holomorphic sectional curvature given in [6] and [13] or constant totally real sectional curvature given in [11].

Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds

Mehri Nasehi (2016)

Czechoslovak Mathematical Journal

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In this paper we study parallel and totally geodesic hypersurfaces of two-step homogeneous nilmanifolds of dimension five. We give the complete classification and explicitly describe parallel and totally geodesic hypersurfaces of these spaces. Moreover, we prove that two-step homogeneous nilmanifolds of dimension five which have one-dimensional centre never admit parallel hypersurfaces. Also we prove that the only two-step homogeneous nilmanifolds of dimension five which admit totally...