Publication detail

Generalization of Curvature Homogeneous Spaces

VANŽUROVÁ, A.

Original Title

Generalization of Curvature Homogeneous Spaces

English Title

Generalization of Curvature Homogeneous Spaces

Type

conference paper

Language

en

Original Abstract

Curvature homogeneous manifolds are Riemannian or pseudo Riemannian spaces whose curvature tensor of type (0,4) is ``the same" at all points. Connected locally homogeneous manifolds are trivial examples. Singer introduced also curvature homogeneity of higher order. We study here a natural modification of this concept, namely homothety k-curvature homogeneity.

English abstract

Curvature homogeneous manifolds are Riemannian or pseudo Riemannian spaces whose curvature tensor of type (0,4) is ``the same" at all points. Connected locally homogeneous manifolds are trivial examples. Singer introduced also curvature homogeneity of higher order. We study here a natural modification of this concept, namely homothety k-curvature homogeneity.

Keywords

Riemannian space, locally homogeneous space, curvature homogeneous space of order k, homothety curvature homogneous space of order k.

Released

15.06.2017

Publisher

Univerzita obrany, Brno

Location

Brno

ISBN

978-80-7231-417-1

Book

Matematika, informační technologie a aplikované vědy, Brno: Univerzita obrany, 2017.

Pages from

1

Pages to

4

Pages count

4

BibTex


@inproceedings{BUT143580,
  author="Alena {Vanžurová}",
  title="Generalization of Curvature Homogeneous Spaces",
  annote="Curvature homogeneous manifolds are Riemannian or pseudo Riemannian spaces whose curvature tensor of type (0,4) is ``the same" at all points. Connected locally homogeneous manifolds are trivial examples. Singer introduced also curvature homogeneity of higher order. We study here a natural modification of this concept, namely homothety k-curvature homogeneity.",
  address="Univerzita obrany, Brno",
  booktitle="Matematika, informační technologie a aplikované vědy, Brno: Univerzita obrany, 2017.",
  chapter="143580",
  howpublished="electronic, physical medium",
  institution="Univerzita obrany, Brno",
  year="2017",
  month="june",
  pages="1--4",
  publisher="Univerzita obrany, Brno",
  type="conference paper"
}