a note on ricci solitons

Clicks: 142
ID: 167109
2020
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Abstract
In this paper, we characterize trivial Ricci solitons. We observe the important role of the energy function f of a Ricci soliton (half the squared length of the potential vector field) in the charectrization of trivial Ricci solitons. We find three characterizations of connected trivial Ricci solitons by imposing different restrictions on the energy function. We also use Hessian of the potential function to characterize compact trivial Ricci solitons. Finally, we show that a solution of a Poisson equation is the energy function f of a compact Ricci soliton if and only if the Ricci soliton is trivial.
Reference Key
deshmukh2020symmetrya Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Sharief Deshmukh;Hana Alsodais
Journal journal of hospitality and tourism management
Year 2020
DOI
10.3390/sym12020289
URL
https://www.mdpi.com/2073-8994/12/2/289
Keywords Keywords not found

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