Publication result detail

Reconstruction of an Affine Connection in Generalized Fermi Coordinates

VANŽUROVÁ, A.; MIKEŠ, J.

Original Title

Reconstruction of an Affine Connection in Generalized Fermi Coordinates

English Title

Reconstruction of an Affine Connection in Generalized Fermi Coordinates

Type

WoS Article

Original Abstract

We introduce special pre-semigeodesic charts which generalize Fermi coordinates. In a fixed pre-semigeodesic chart of a manifold with a symmetric affine connection we reconstruct the connection in some neighborhood from the knowledge of the initial conditions by means of a version of Peano-Picard- Cauchy-like Theorem.

English abstract

We introduce special pre-semigeodesic charts which generalize Fermi coordinates. In a fixed pre-semigeodesic chart of a manifold with a symmetric affine connection we reconstruct the connection in some neighborhood from the knowledge of the initial conditions by means of a version of Peano-Picard- Cauchy-like Theorem.

Keywords

Riemannian manifold, Linear connection, Metric, Fermi coordinates, Semi-geodesic coordinates

Key words in English

Riemannian manifold, Linear connection, Metric, Fermi coordinates, Semi-geodesic coordinates

Authors

VANŽUROVÁ, A.; MIKEŠ, J.

RIV year

2018

Released

08.01.2017

Publisher

Springer Verlag

Location

Heidelberg, Germany

ISBN

0126-6705

Periodical

Bulletin of the Malaysian Mathematical Sciences Society

Volume

40

Number

1

State

Malaysia

Pages from

205

Pages to

213

Pages count

9

BibTex

@article{BUT123473,
  author="Alena {Vanžurová} and Josef {Mikeš}",
  title="Reconstruction of an Affine Connection in Generalized Fermi Coordinates",
  journal="Bulletin of the Malaysian Mathematical Sciences Society",
  year="2017",
  volume="40",
  number="1",
  pages="205--213",
  doi="10.1007/s40840-016-0316-4",
  issn="0126-6705"
}