Mean Curvature Flow on Ricci Solitons

Details Mean Curvature Flow on Ricci Solitons Mean Curvature Flow on Ricci Solitons

2008-12-07

arxiv.org/abs/0812.1356v3

J.Phys.A43:045202,2010

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

10.1088/1751-8113/43/4/045202

We study monotonic quantities in the context of combined geometric flows. In particular, focusing on Ricci solitons as the ambient space, we consider solutions of the heat type equation integrated over embedded submanifolds evolving by mean curvature flow and we study their monotonicity properties. This is part of an ongoing project with Magni and Mantegazzawhich will treat the case of non-solitonic backgrounds $\cite{a_14}$.

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