Publication result detail

Generalization of Curvature Homogeneous Spaces

VANŽUROVÁ, A.

Original Title

Generalization of Curvature Homogeneous Spaces

English Title

Generalization of Curvature Homogeneous Spaces

Type

Paper in proceedings (conference paper)

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.

Key words in English

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

Authors

VANŽUROVÁ, A.

RIV year

2018

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",
  booktitle="Matematika, informační technologie a aplikované vědy, Brno: Univerzita obrany, 2017.",
  year="2017",
  pages="1--4",
  publisher="Univerzita obrany, Brno",
  address="Brno",
  isbn="978-80-7231-417-1"
}