The induced and intrinsic Finsler connections of a hypersurface and Finslerian projective geometry

DOI10.1215/kjm/1250521161zbMath0567.53025OpenAlexW1586441645MaRDI QIDQ1059871

Makoto Matsumoto

Publication date: 1985

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521161

zbMATH Keywords

hyperplanegeneralized Gauss-Codazzi equationshypersurfaces of a Finsler spaceinduced connectionsprojectively flat spaces

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (13)

Theory of Finsler spaces with \((\alpha,\beta)\)-metric ⋮ Totally geodesic holomorphic subspaces ⋮ The flag curvature of a submanifold of a Randers-Minkowski space in terms of Zermelo data ⋮ Hypersurface of a Finsler space subjected to an h-exponential change of metric ⋮ Unnamed Item ⋮ Unnamed Item ⋮ ON h-RANDERS EXPONENTIAL CHANGE OF FINSLER METRIC ⋮ On hypersurface of a Finsler space with a special metric ⋮ The equations of a holomorphic subspace in a complex Finsler space ⋮ Hypersurfaces of a Finsler space with a special \((\alpha, \beta)\)-metric ⋮ On a hypersurface of a Finsler space with Randers change of Matsumoto metric ⋮ Hypersurface of a Finsler space subjected to a Kropina change with an \(h\)-vector ⋮ Hypersurfaces of conformally and \(h\)-conformally related Finsler spaces

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