Publication result detail

Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three

VANŽUROVÁ, A.

Original Title

Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three

English Title

Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three

Type

Paper in proceedings (conference paper)

Original Abstract

We discuss here curvature homogeneity and homothety curvature homogeneity of Riemannian manifolds with positive metric: curvature homogeneous Riemannian spaces have ``the same" curvature in all points, while curvatures of homothety curvature homogeneous spaces in two points differ ``up to a multiple". We bring a class of examples of so called Sekigawa type which are homothety curvature homogeneous but are not locally homogeneous.

English abstract

We discuss here curvature homogeneity and homothety curvature homogeneity of Riemannian manifolds with positive metric: curvature homogeneous Riemannian spaces have ``the same" curvature in all points, while curvatures of homothety curvature homogeneous spaces in two points differ ``up to a multiple". We bring a class of examples of so called Sekigawa type which are homothety curvature homogeneous but are not locally homogeneous.

Keywords

Riemannian manifold; curvature tensor; curvature homogeneity; locally homogeneous space; homothety curvature homogeneous space

Key words in English

Riemannian manifold; curvature tensor; curvature homogeneity; locally homogeneous space; homothety curvature homogeneous space

Authors

VANŽUROVÁ, A.

RIV year

2019

Released

05.02.2019

Publisher

Slovak University of Technology in Bratislava

ISBN

978-8-0227-4884-1

Book

Aplimat 2019 Proceedings

Pages from

1281

Pages to

1287

Pages count

7

BibTex

@inproceedings{BUT155647,
  author="Alena {Vanžurová}",
  title="Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three",
  booktitle="Aplimat 2019 Proceedings",
  year="2019",
  pages="1281--1287",
  publisher="Slovak University of Technology in Bratislava",
  isbn="978-8-0227-4884-1"
}