Minimality of totally geodesic submanifolds in Finsler geometry

DOI10.1007/S00208-008-0299-ZzbMath1165.53366OpenAlexW2020571935MaRDI QIDQ1006808

Gautier Berck

Publication date: 26 March 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-008-0299-z

zbMATH Keywords

Hausdorff measureHolmes-Thompson volume3-dimensional Finsler manifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Manifolds and measure-geometric topics (49Q99)

Related Items (2)

The flag curvature of a submanifold of a Randers-Minkowski space in terms of Zermelo data ⋮ The variation formulas of Finsler submanifolds

Cites Work

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• Symplectic geometry and Hilbert's fourth problem
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• On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume.
• A Bernstein type theorem on a Randers space
• What is wrong with the Hausdorff measure in Finsler spaces
• Geometries in which the planes minimize area
• Isometric submersions of Finsler manifolds
• Crofton formulas in projective Finsler spaces
• A Panoramic View of Riemannian Geometry

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