Publication result detail

Geodesic Mappings Onto Riemannian Manifolds and Differentiability

HINTERLEITNER, I.; MIKEŠ, J.

Original Title

Geodesic Mappings Onto Riemannian Manifolds and Differentiability

English Title

Geodesic Mappings Onto Riemannian Manifolds and Differentiability

Type

WoS Article

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).

English 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

Key words in English

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

Authors

HINTERLEITNER, I.; MIKEŠ, J.

RIV year

2018

Released

04.01.2017

Publisher

Bulgarian Academy of Sciences

Location

Sofia, Bulgaria

Book

Geometry, Integrability and Quantization

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"
}