A note on warped product almost quasi-Yamabe solitons

Adara M. Blaga

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arXiv · 1804.05393

A note on warped product almost quasi-Yamabe solitons

Adara M. Blaga

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Abstract

We consider almost quasi-Yamabe solitons in Riemannian manifolds, derive a Bochner-type formula in the gradient case and prove that under certain assumptions, the manifold is of constant scalar curvature. We also provide necessary and sufficient conditions for a gradient almost quasi-Yamabe soliton on the base manifold to induce a gradient almost quasi-Yamabe soliton on the warped product manifold.

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Adara M. Blaga. 2018-04-15. A note on warped product almost quasi-Yamabe solitons. https://arxiv.org/abs/1804.05393

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