On fundamental equations of geodesic mappings and their generalizations

DOI10.1007/s10958-011-0316-8zbMath1283.53015OpenAlexW1996207501MaRDI QIDQ389111

I. Hinterleitner, Josef Mikeš

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0316-8

zbMATH Keywords

geodesic mappingalmost geodesic mappinggeneralized geometric spacesholomorphicallly projective mapping

Mathematics Subject Classification ID

Differential invariants (local theory), geometric objects (53A55)

Related Items

Geodesic mappings and their generalizations ⋮ Rotary mappings of spaces with affine connection ⋮ Some invariants of holomorphically projective mappings of generalized Kählerian spaces ⋮ Symmetric, semisymmetric, and recurrent projectively Euclidean spaces ⋮ Projective structure and holonomy in four-dimensional Lorentz manifolds ⋮ On geodesic definiteness by similarity points ⋮ On Fε2-planar mappings with function ε of (pseudo-)Riemannian manifolds ⋮ Almost geodesic mappings of spaces with affine connection ⋮ Geodesic mappings of manifolds with affine connection onto the Ricci symmetric manifolds ⋮ Geodesic mappings of spaces with affine connnection onto generalized Ricci symmetric spaces ⋮ INVARIANTS FOR F-PLANAR MAPPINGS OF SYMMETRIC AFFINE CONNECTION SPACES

Cites Work

• Differential-geometric structures on manifolds
• Theory of holomorphically projective mappings of Kählerian spaces
• Holomorphically projective mappings and their generalizations
• Projective transformations of pseudo-Riemannian manifolds
• Geodesic mappings of affine-connected and Riemannian spaces
• A note on symmetric connections
• Obstructions to conformally Einstein metrics in \(n\) dimensions
• Notes on Projective Differential Geometry
• Metric connections in projective differential geometry
• Curvature and Betti Numbers. (AM-32)
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