Characterization of almost contact metrics admitting certain types of solitons

2025/03/27 by Santu Dey, Fatimah Alghamdi, Siraj Uddin · 1 citation
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Nonlinear Differential Equations Analysis #Fixed Point Theorems Analysis

paper · doi:10.1142/s0219887825501695

Abstract

In this paper, we characterize ∗-conformal [Formula: see text]-Ricci–Yamabe solitons and gradient almost ∗-conformal [Formula: see text]-Ricci–Yamabe solitons within the framework of Kenmotsu manifolds. Some fascinating results of such solitons are established. Last, we give an example of a gradient almost ∗-conformal [Formula: see text]-Ricci–Yamabe soliton on a five-dimensional Kenmotsu manifold.

Cited by

• Geometry of δ-almost gradient Yamabe solitons on pseudo-Riemannian manifolds

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• *-Conformal η-Ricci soliton within the framework of Kenmotsu manifolds
• Geometry of almost contact metrics as an almost ∗-η-Ricci–Bourguignon solitons
• Almost Kenmotsu metric as Ricci-Yamabe soliton
• Geometry of almost contact metrics as almost *-Ricci solitons
• Almost Kenmotsu metric as quasi Yamabe soliton