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

DOI10.1134/S0001434610010232zbMath1200.53063arXiv0709.3796MaRDI QIDQ1957032

Eugene Olin, Alexander A. Borisenko

Publication date: 24 September 2010

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

Full work available at URL: https://arxiv.org/abs/0709.3796

zbMATH Keywords

comparison theoremRiemannian manifoldFinsler metricBerwald metriclocally convex immersion

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (3)

Convex domains of Finsler and Riemannian manifolds ⋮ On a class of immersions of spheres into space forms of nonpositive curvature ⋮ Infinitesimal and Local Convexity of a Hypersurface in a Semi-Riemannian Manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On locally convex hypersurfaces in Hadamard manifolds
• Closed geodesics in simply connected Riemannian spaces of negative curvature
• Locally Convex Hypersurfaces of Negatively Curved Spaces
• Extension of the Rauch Comparison Theorem to Submanifolds
• On locally convex manifolds

This page was built for publication: The global structure of locally convex hypersurfaces in Finsler-Hadamard manifolds