Gradient almost Ricci solitons on multiply warped product manifolds

Authors

  • S. Günsen Aydin Adnan Menderes University, Kepez Mevkii Efeler, 09010 Aydin, Turkey
  • L. Onat Aydin Adnan Menderes University, Kepez Mevkii Efeler, 09010 Aydin, Turkey
https://doi.org/10.15330/cmp.13.2.386-394

Keywords:

multiply warped product, gradient almost Ricci soliton, generalized quasi-Einstein manifold, conformal vector field
Published online: 2021-08-22

Abstract

In this paper, we investigate multiply warped product manifold M=B×b1F1×b2F2×b3×bmFm as a gradient almost Ricci soliton. Taking bi=b for 1im lets us to deduce that potential field depends on B. With this idea we also get a rigidity result and show that base is a generalized quasi-Einstein manifold if b is conformal.

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How to Cite
(1)
Günsen, S.; Onat, L. Gradient Almost Ricci Solitons on Multiply Warped Product Manifolds. Carpathian Math. Publ. 2021, 13, 386-394.