VOLUME FORMS AND MINIMAL SURFACES OF ROTATION IN FINSLER SPACES WITH (α, β)-METRICS

DOI10.1142/S0129167X10006483zbMath1211.53051OpenAlexW2036585761MaRDI QIDQ3067789

Qun He, Wei Yang

Publication date: 13 January 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x10006483

zbMATH Keywords

minimal submanifoldrotation surfacevolume element\((\alpha , \beta )\)-metricisometrical immersion

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

Related Items (6)

Nontrivial minimal surfaces in a class of Finsler spheres of vanishing \(\mathbf{S}\)-curvature ⋮ Minimal rotational hypersurfaces in Minkowski \((\alpha , \beta )\)-space ⋮ Remarks on minimal surfaces in a 3-dimensional Randers space ⋮ Nontrivial minimal surfaces in a class of Finsler 3-spheres ⋮ On the stability of minimal immersions into Finsler manifolds ⋮ Minimal surfaces in some 4-dimensional general \((\alpha, \beta)\)-spaces

Cites Work

• A class of Finsler metrics with isotropic S-curvature
• On Finsler geometry of submanifolds
• Minimal surfaces of rotation in Finsler space with a Randers metric
• A Bernstein type theorem on a Randers space
• On Bernstein type theorems in Finsler spaces with the volume form induced from the projective sphere bundle

This page was built for publication: VOLUME FORMS AND MINIMAL SURFACES OF ROTATION IN FINSLER SPACES WITH (α, β)-METRICS