4 papers · 1 filter
Non-compact Ricci Solitons of Finite Volume with Potential Field of Constant Length
Hemangi Madhusudan Shah, Sharief Deshmukh, Mohammad Aqib
We study non-compact Ricci solitons of finite volume whose potential vector field has constant length. Under the assumptions that the scalar curvature is constant along the integra…
Almost Ricci--Bourguignon Solitons on Contact Metric Three-Manifolds
Mohammad Aqib
We investigate almost Ricci--Bourguignon solitons on three-dimensional contact metric manifolds. Under natural curvature assumptions, we show that the additional freedom introduced…
Finite Volume Einstein Finsler Warped Product Manifolds of Non-positive or Non-negative Scalar Curvature
Mohammad Aqib, Hemangi Madhusudan Shah, Pankaj Kumar +1
The notion of warped product plays an important role in Riemannian geometry moreover in geodesic metric spaces. The warped product was first introduced by Bishop and O'Neill to stu…
Characterizations of Almost Ricci Bourguignon Solitons
Mohammad Aqib, Hemangi Madhusudan Shah, Dhriti Sundar Patra
In this paper, we revisit the study of almost Ricci-Bourguignon solitons by clarifying their position in the broader context of Einstein-type metrics. Motivated by known rigidity r…