Detail publikačního výsledku

Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three

VANŽUROVÁ, A.

Originální název

Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three

Anglický název

Homothety Curvature Homogeneous Riemannian Manifolds of Dimension Three

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

VANŽUROVÁ, A.

Rok RIV

2019

Vydáno

05.02.2019

Nakladatel

Slovak University of Technology in Bratislava

ISBN

978-8-0227-4884-1

Kniha

Aplimat 2019 Proceedings

Strany od

1281

Strany do

1287

Strany počet

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"
}