Minimal surfaces of rotation in Finsler space with a Randers metric

DOI10.1007/S00208-002-0392-7zbMath1066.53124OpenAlexW2008823207MaRDI QIDQ1395411

Marcelo Souza, Keti Tenenblat

Publication date: 1 July 2003

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

Full work available at URL: https://doi.org/10.1007/s00208-002-0392-7

zbMATH Keywords

minimal surfaceFinsler geometryRanders space

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (17)

On minimal surfaces immersed in three dimensional Kropina Minkowski space ⋮ Minimal surfaces in a Randers sphere with the rotational Killing vector field ⋮ On minimal surfaces of rotations immersed in deformed hyperbolic Kropina space ⋮ A local rigidity theorem for minimal surfaces in Minkowski 3-space of Randers type ⋮ Nontrivial minimal surfaces in a class of Finsler spheres of vanishing \(\mathbf{S}\)-curvature ⋮ The variation of a functional on the Riemannian submanifolds and its applications ⋮ On minimal immersions in Finsler space ⋮ Minimal rotational hypersurfaces in Minkowski \((\alpha , \beta )\)-space ⋮ Unnamed Item ⋮ On minimal surfaces in a class of Finsler 3-spheres ⋮ Nontrivial minimal surfaces in a hyperbolic Randers space ⋮ On Bernstein type theorems in Finsler spaces with the volume form induced from the projective sphere bundle ⋮ Remarks on minimal surfaces in a 3-dimensional Randers space ⋮ Nontrivial minimal surfaces in a class of Finsler 3-spheres ⋮ VOLUME FORMS AND MINIMAL SURFACES OF ROTATION IN FINSLER SPACES WITH (α, β)-METRICS ⋮ Minimality of totally geodesic submanifolds in Finsler geometry ⋮ Minimal surfaces in some 4-dimensional general \((\alpha, \beta)\)-spaces

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