Publication detail

On a generalization of curvature homogeneus spaces

VANŽUROVÁ A. KOWALSKI O.

Original Title

On a generalization of curvature homogeneus spaces

Type

journal article - other

Language

English

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.

Keywords

Riemannian manifold, curvature homogeneous manifold, locally homogeneous space

Authors

VANŽUROVÁ A.; KOWALSKI O.

RIV year

2013

Released

8. 4. 2013

Publisher

Springer Basel AG

Location

Basel

ISBN

1422-6383

Periodical

Results in Mathematics

Year of study

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"
}