On Bernstein type theorems in Finsler spaces with the volume form induced from the projective sphere bundle

DOI10.1090/S0002-9939-05-08017-2zbMath1090.53061MaRDI QIDQ5713209

Qun He, Yi-Bing Shen

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (10)

A local rigidity theorem for minimal surfaces in Minkowski 3-space of Randers type ⋮ Invariant volume forms and first integrals for geodesically equivalent Finsler metrics ⋮ The variation of a functional on the Riemannian submanifolds and its applications ⋮ Minimal rotational hypersurfaces in Minkowski \((\alpha , \beta )\)-space ⋮ On minimal surfaces in a class of Finsler 3-spheres ⋮ Nontrivial minimal surfaces in a hyperbolic Randers space ⋮ Nontrivial minimal surfaces in a class of Finsler 3-spheres ⋮ Stable hypersurfaces of Minkowski spaces ⋮ On the stability of minimal immersions into Finsler manifolds ⋮ VOLUME FORMS AND MINIMAL SURFACES OF ROTATION IN FINSLER SPACES WITH (α, β)-METRICS

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• A note on the Gauss-Bonnet theorem for Finsler spaces
• Minimal varieties in Riemannian manifolds
• On stable complete minimal hypersurfaces in R n +1
• Stable complete minimal surfaces in 𝑅³ are planes
• Tores finslériens sans points conjugués

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