Publication result detail

Conformal Mappings onto Einstein Spaces

HINTERLEITNER, I.; MIKEŠ, J.; GUSEVA, N.; EVTUSHIK, L.

Original Title

Conformal Mappings onto Einstein Spaces

English Title

Conformal Mappings onto Einstein Spaces

Type

WoS Article

Original Abstract

We study conformal mappings of Riemannian manifolds onto Einstein manifolds under minimal condition on the differentiability class of manifolds. We establish under what conditions the linear equations obtained by J. Mikeš, M. L. Gavril’chenko and E. I. Gladyscheva that define such mappings. We obtain an estimate of the number of essential parameters on which the general solution of the fundamental system of equations depend

English abstract

We study conformal mappings of Riemannian manifolds onto Einstein manifolds under minimal condition on the differentiability class of manifolds. We establish under what conditions the linear equations obtained by J. Mikeš, M. L. Gavril’chenko and E. I. Gladyscheva that define such mappings. We obtain an estimate of the number of essential parameters on which the general solution of the fundamental system of equations depend

Keywords

(pseudo-)Riemannian space, conformal mapping, Einstein space

Key words in English

(pseudo-)Riemannian space, conformal mapping, Einstein space

Authors

HINTERLEITNER, I.; MIKEŠ, J.; GUSEVA, N.; EVTUSHIK, L.

RIV year

2017

Released

01.09.2016

Publisher

Alleerton Press

Location

Rusko

ISBN

1066-369X

Periodical

Russian Mathematics

Volume

60

Number

10

State

Russian Federation

Pages from

5

Pages to

9

Pages count

5

URL

http://link.springer.com/journal/11982/60/10/page/1

BibTex

@article{BUT127044,
  author="Irena {Hinterleitner} and Josef {Mikeš} and Nadezda {Guseva} and Leonid {Evtushik}",
  title="Conformal Mappings onto Einstein Spaces",
  journal="Russian Mathematics",
  year="2016",
  volume="60",
  number="10",
  pages="5--9",
  doi="10.3103/S1066369X16100029",
  issn="1066-369X",
  url="http://link.springer.com/journal/11982/60/10/page/1"
}