Detail publikace

Geodesic Mappings Onto Riemannian Manifolds and Differentiability

HINTERLEITNER, I. MIKEŠ, J.

Originální název

Geodesic Mappings Onto Riemannian Manifolds and Differentiability

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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).

Klíčová slova

class of differentiability, geodesic mapping, manifold with affine connection, manifold with projective connection, (pseudo-) Riemannian manifold

Autoři

HINTERLEITNER, I.; MIKEŠ, J.

Vydáno

4. 1. 2017

Nakladatel

Bulgarian Academy of Sciences

Místo

Sofia, Bulgaria

ISSN

1314-3247

Periodikum

Geometry, Integrability and Quantization

Číslo

17

Stát

Bulharská republika

Strany od

183

Strany do

190

Strany počet

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"
}