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On locally convex hypersurfaces in Hadamard manifolds

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Publication:1585649
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DOI10.1007/BF02676397zbMath0991.53035MaRDI QIDQ1585649

Alexander A. Borisenko

Publication date: 16 November 2000

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Gaussian curvatureconvex hypersurfaceexternal Ricci curvaturesecond quadratic form


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)


Related Items

The global structure of locally convex hypersurfaces in Finsler-Hadamard manifolds



Cites Work

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  • Manifolds of nonpositive curvature
  • On the Total Curvature of Immersed Manifolds
  • CONVEX SETS IN RIEMANNIAN SPACES OF NON-NEGATIVE CURVATURE
  • Locally Convex Hypersurfaces of Negatively Curved Spaces
  • Extrinsic geometry of strongly parabolic multidimensional submanifolds
  • On Hypersurfaces of Hyperbolic Space Infinitesimally Supported by Horospheres
  • Extension of the Rauch Comparison Theorem to Submanifolds
  • On locally convex manifolds
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