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HINTERLEITNER, I. MIKEŠ, J.
Original Title
Geodesic Mappings Onto Riemannian Manifolds and Differentiability
Type
journal article in Web of Science
Language
English
Original Abstract
In this paper we study fundamental equations of geodesic mappings of manifolds with affine connection onto (pseudo-) Riemannian manifolds. We proved that if a manifolds with affine (or projective) connection of differentiability class C^r, where r great than or equal 2 admits a geodesic mapping onto a (pseudo-)Riemannian manifolds of diferentiable class, then this manifolds belongs to the differentiability class C^(r+1).
Keywords
class of differentiability, geodesic mapping, manifold with affine connection, manifold with projective connection, (pseudo-) Riemannian manifold
Authors
HINTERLEITNER, I.; MIKEŠ, J.
Released
4. 1. 2017
Publisher
Bulgarian Academy of Sciences
Location
Sofia, Bulgaria
ISBN
1314-3247
Periodical
Geometry, Integrability and Quantization
Number
17
State
Republic of Bulgaria
Pages from
183
Pages to
190
Pages count
8
BibTex
@article{BUT131271, author="Irena {Hinterleitner} and Josef {Mikeš}", title="Geodesic Mappings Onto Riemannian Manifolds and Differentiability", journal="Geometry, Integrability and Quantization", year="2017", number="17", pages="183--190", doi="10.7546/giq-18-2017-183-190", issn="1314-3247" }