Ricci solitons on η-einstein contact manifolds
TL;DR: In this article, the Ricci solitons on η-Einstein contact manifolds were studied and some important corollaries were derived for the main result of the present paper.
Abstract: The object of the present paper is to study Ricci solitons on η-Einstein contact manifolds. As a consequence of the main result we deduce some important corollaries.
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TL;DR: In this article, locally symmetric and Ricci-symmetric contact metric manifolds of dimension greater than 3 were characterized by assuming certain conditions on the curvature and the Ricci curvature along the characteristic vector field of the contact structure.
Abstract: We have characterized locally symmetric and Ricci-symmetric contact metric manifolds of dimension greater than 3, by assuming certain conditions on the curvature and Ricci curvature along the characteristic vector field of the contact structure.
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