Some Results on $\ast -$Ricci Flow

Abstract

In this paper we have introduced the notion of $\ast -$ Ricci flow and shown that $\ast -$ Ricci soliton which was introduced by Kakimakamis and Panagiotid in 2014, is a self similar soliton of the $\ast -$ Ricci flow. We have also find the deformation of geometric curvature tensors under $\ast -$ Ricci flow. In the last two section of the paper, we have found the $\Im$-functional and $\omega -$ functional for $\ast -$ Ricci flow respectively.

8 pages

References in corpus (3)

• Superconductivity with Topological non-trivial surface states in NbC
• Ricci flow with surgery on three-manifolds
• Ricci solitons on Sasakian manifolds