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In this paper, we use less topological restrictions and more geometric and analytic conditions to obtain some sufficient conditions on Yamabe solitons such that their metrics are Yamabe metrics, that… Click to show full abstract
In this paper, we use less topological restrictions and more geometric and analytic conditions to obtain some sufficient conditions on Yamabe solitons such that their metrics are Yamabe metrics, that is, metrics of constant scalar curvature. More precisely, we use properties of conformal vector fields to find several sufficient conditions on the soliton vector fields of Yamabe solitons under which their metrics are Yamabe metrics.
Keywords:
vector fields;
yamabe solitons;
conformal vector;
fields yamabe
Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
Link to full text (if available)
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Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!