Publication result detail

On a generalization of curvature homogeneus spaces

VANŽUROVÁ A.; KOWALSKI O.

Original Title

On a generalization of curvature homogeneus spaces

English Title

On a generalization of curvature homogeneus spaces

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

K. Sekigawa proved in 1977 that a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the sense of I.M. Singer is always locally homogeneous. We deal here with the modification of the curvature homogeneity which is said to be ``of type (1,3)". We give example of a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the modified sense but still not locally homogeneous.

English abstract

K. Sekigawa proved in 1977 that a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the sense of I.M. Singer is always locally homogeneous. We deal here with the modification of the curvature homogeneity which is said to be ``of type (1,3)". We give example of a 3-dimensional Riemannian manifold which is curvature homogeneous up to order 1 in the modified sense but still not locally homogeneous.

Keywords

Riemannian manifold, curvature homogeneous manifold, locally homogeneous space

Key words in English

Riemannian manifold, curvature homogeneous manifold, locally homogeneous space

Authors

VANŽUROVÁ A.; KOWALSKI O.

Released

08.04.2013

Publisher

Springer Basel AG

Location

Basel

ISBN

1422-6383

Periodical

Results in Mathematics

Volume

2013 (63)

Number

1

State

Swiss Confederation

Pages from

129

Pages to

134

Pages count

6

BibTex

@article{BUT88931,
  author="VANŽUROVÁ A. and KOWALSKI O.",
  title="On a generalization of curvature homogeneus spaces",
  journal="Results in Mathematics",
  year="2013",
  volume="2013 (63)",
  number="1",
  pages="129--134",
  issn="1422-6383"
}