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2019 Some Geometrical Aspects of Einstein, Ricci and Yamabe Solitons
Adara M. Blaga
J. Geom. Symmetry Phys. 52(none): 17-26 (2019). DOI: 10.7546/jgsp-52-2019-17-26

Abstract

Under certain assumptions, we characterize the almost $\eta$-Einstein, $\eta$-Ricci and $\eta$-Yamabe solitons on a pseudo-Riemannian manifold when the potential vector field of the soliton is infinitezimal harmonic or torse-forming. Moreover, in the second case, if the manifold is Ricci symmetric of constant scalar curvature, then the soliton is completely determined.

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Adara M. Blaga. "Some Geometrical Aspects of Einstein, Ricci and Yamabe Solitons." J. Geom. Symmetry Phys. 52 17 - 26, 2019. https://doi.org/10.7546/jgsp-52-2019-17-26

Information

Published: 2019
First available in Project Euclid: 26 July 2019

zbMATH: 1423.35064
MathSciNet: MR3931268
Digital Object Identifier: 10.7546/jgsp-52-2019-17-26

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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