Homogeneous four-manifolds with half-harmonic Weyl curvature tensor-Reference-Cited by-同舟云学术

Homogeneous four-manifolds with half-harmonic Weyl curvature tensor

Published:2022-09-02 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Calviño-Louzao Esteban¹^ORCID,Ferreiro-Subrido María²^ORCID,Garcia-Rio Eduardo²^ORCID,Vázquez-Lorenzo Ramon³^ORCID

Affiliation:

1. Consellería de Cultura, Educación e Universidade , Xunta de Galicia , 15781 Santiago de Compostela , Spain

2. CITMAga , Faculty of Mathematics , University of Santiago de Compostela , 15782 Santiago de Compostela , Spain

3. I.E.S. de Ribadeo Dionisio Gamallo , Ribadeo , Spain

Abstract

Abstract We show that a four-dimensional homogeneous manifold with half-harmonic Weyl curvature tensor is symmetric or homothetic either to the only nonsymmetric anti-self-dual homogeneous manifold or to the 3-symmetric space.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2022-0007/pdf

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