Research Article

Almost η-Ricci and almost η-Yamabe solitons with torse-forming potential vector field

Published in: Quaestiones Mathematicae
Volume 45 , issue 1, pages: 143–163

DOI: 10.2989/16073606.2020.1850538

Author(s): Adara M. Blaga, România, Cihan Özgür, Turkey,

Keywords: 35Q51, 53B25, 53B50, 35Q51, 53B25, 53B50,

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Abstract

We provide properties of almost η-Ricci and almost η-Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold whose potential vector field is the tangential component of a torse-forming vector field on , treating also the case of a minimal or pseudo quasi-umbilical hypersurface. Moreover, we give necessary and suﬃcient conditions for an orientable hypersurface of the unit sphere to be an almost η-Ricci or an almost η-Yamabe soliton in terms of the second fundamental tensor field.

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Research Article

Almost η-Ricci and almost η-Yamabe solitons with torse-forming potential vector field

Abstract

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