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On a class of almost Kenmotsu manifolds admitting an Einstein like structure
D. Dey,
Published in Springer Science and Business Media Deutschland GmbH
2021
Volume: 15
   
Issue: 1
Pages: 335 - 343
Abstract
In the present paper, we introduce the notion of ∗ -gradient ρ-Einstein soliton on a class of almost Kenmotsu manifolds. It is shown that if a (2 n+ 1) -dimensional (k, μ) ′-almost Kenmotsu manifold M admits ∗ -gradient ρ-Einstein soliton with Einstein potential f, then (1) the manifold M is locally isometric to Hn+1(- 4) × Rn, (2) the manifold M is ∗ -Ricci flat and (3) the Einstein potential f is harmonic or satisfies a physical Poisson’s equation. Finally, an illustrative example is presented. © 2021, Instituto de Matemática e Estatística da Universidade de São Paulo.
About the journal
JournalData powered by TypesetSao Paulo Journal of Mathematical Sciences
PublisherData powered by TypesetSpringer Science and Business Media Deutschland GmbH
ISSN19826907