Notes on affine Killing and two-Killing vector fields-Reference-Cited by-同舟云学术

Notes on affine Killing and two-Killing vector fields

Published:2022-03-28 Issue:2 Volume:72 Page:483-490
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Wang Wenjie¹

Affiliation:

1. School of Mathematics , Zhengzhou University of Aeronautics , Zhengzhou 450046 , Henan , P. R. China

Abstract

Abstract In this paper, we investigate the geometry of affine Killing and two-Killing vector fields on Riemannian manifolds. More specifically, a new characterization of an Euclidean space via the affine Killing vector fields are given. Some conditions for an affine Killing and two-Killing vector field to be a conformal (homothetic) or Killing one are provided.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0034/pdf

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