Publication 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

conference paper

Language

en

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

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

Documents

BibTex


@inproceedings{BUT155647,
  author="Alena {Vanžurová}",
  title="Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three",
  annote="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.",
  address="Slovak University of Technology in Bratislava",
  booktitle="Aplimat 2019 Proceedings",
  chapter="155647",
  howpublished="electronic, physical medium",
  institution="Slovak University of Technology in Bratislava",
  year="2019",
  month="february",
  pages="1281--1287",
  publisher="Slovak University of Technology in Bratislava",
  type="conference paper"
}