On the stability of minimal immersions into Finsler manifolds

DOI10.1016/j.difgeo.2012.04.006zbMath1252.53070OpenAlexW2032898825WikidataQ115356717 ScholiaQ115356717MaRDI QIDQ714437

D. Kharzeev

Publication date: 11 October 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2012.04.006

zbMATH Keywords

stabilitysecond variationFinsler manifoldminimal immersionBernstein type theorem

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) Global stability of solutions to ordinary differential equations (34D23)

Cites Work

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• Second variation of harmonic maps between Finsler manifolds
• On Finsler geometry of submanifolds
• Harmonic maps from Finsler manifolds
• A Bernstein type theorem on a Randers space
• VOLUME FORMS AND MINIMAL SURFACES OF ROTATION IN FINSLER SPACES WITH (α, β)-METRICS
• SOME RESULTS ON HARMONIC MAPS FOR FINSLER MANIFOLDS
• On Bernstein type theorems in Finsler spaces with the volume form induced from the projective sphere bundle