Diameter estimation of gradient $\rho$-Einstein solitons

Absos Ali Shaikh; Prosenjit Mandal; Chandan Kumar Mondal

doi:10.1016/j.geomphys.2022.104518

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arXiv · 2103.06106

Diameter estimation of gradient $\rho$-Einstein solitons

Absos Ali Shaikh·Prosenjit Mandal·Chandan Kumar Mondal

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Abstract

Our aim in this article is to give a lower bound of the diameter of a compact gradient $\rho$-Einstein soliton satisfying some given conditions. We have also deduced some conditions of the gradient $\rho$-Einstein soliton with bounded Ricci curvature to become non-shrinking and non-expanding. Further, we have proved that a complete non-compact gradient shrinking or expanding Schouten soliton with non-constant potential and a boundedness condition on scalar curvature must be non-parabolic.

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BibTeX RIS

Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal. 2021-03-10. Diameter estimation of gradient $\rho$-Einstein solitons. https://doi.org/10.1016/j.geomphys.2022.104518

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