The trapping property of totally geodesic hyperplanes in Hadamard spaces

DOI10.1007/BF02247117zbMath0865.53028MaRDI QIDQ1924204

Yanyan Li

Publication date: 10 July 1997

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58244

zbMATH Keywords

locally rectifiable currentsquasiminimizing submanifoldstotally geodesic hyperplanes in Hadamard spacestrapping property

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Higher rank hyperbolicity

Cites Work

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• A strict maximum principle for area minimizing hypersurfaces
• Foliated Plateau problem. I: Minimal varieties
• Quasi-minimizing surfaces in hyperbolic space
• Trapping quasiminimizing submanifolds in spaces of negative curvature
• Geodätischer Fluß auf Mannigfaltigkeiten vom hyperbolischen Typ
• A stability theorem for minimal foliations on a torus
• THE EXISTENCE OF COMPLETE MINIMIZING HYPERSURFACES IN HYPERBOLIC MANIFOLDS
• The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension

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