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Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2)

Published:2018-01 Issue:01 Volume:29 Page:1850002
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Brozos-Vázquez Miguel¹,García-Río Eduardo²,Gilkey Peter³,Valle-Regueiro Xabier²

Affiliation:

1. Universidade da Coruña, Differential Geometry and its Applications Research Group, Escola Politécnica Superior, 15403 Ferrol, Spain

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

3. Mathematics Department, University of Oregon, Eugene OR 97403, USA

Abstract

We provide classification results for and examples of half conformally flat generalized quasi-Einstein manifolds of signature [Formula: see text]. This analysis leads to a natural equation in affine geometry called the affine quasi-Einstein equation that we explore in further detail.

Funder

Consellería de Cultura, Educación Ordenación Universitaria, Xunta de Galicia

Ministerio de Educación, Cultura y Deporte

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X18500027

Reference50 articles.

1. RIEMANN EXTENSIONS OF AFFINE CONNECTED SPACES

2. Rigidity of gradient almost Ricci solitons

3. Characterizations and integral formulae for generalized m-quasi-Einstein metrics

4. Einstein Manifolds

5. Riemann spaces conformal to Einstein spaces

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1. Vaisman manifolds and transversally Kähler–Einstein metrics;Annali di Matematica Pura ed Applicata (1923 -);2023-01-16

2. An analysis of symmetry groups of generalized $m$-quasi-Einstein manifolds;Colloquium Mathematicum;2023

3. On self-duality and anti-self-duality of four-dimensional neutral Lie groups;International Journal of Geometric Methods in Modern Physics;2022-08-17

4. Remarks on compact quasi-Einstein manifolds with boundary;Proceedings of the American Mathematical Society;2021-10-19

5. Solutions to the affine quasi-Einstein equation for homogeneous surfaces;Advances in Geometry;2020-07-01

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