Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417667 | Journal of Mathematical Analysis and Applications | 2016 | 36 Pages |
Abstract
For some class of geometric flows, we obtain the (logarithmic) Sobolev inequalities and their equivalence up to different factors directly and also obtain the long time non-collapsing and non-inflated properties, which generalize the results in the case of Ricci flow or List-Ricci flow or harmonic-Ricci flow. As applications, for mean curvature flow in Lorentzian space with nonnegative sectional curvature and twisted Kähler-Ricci flow on Fano manifolds, we get the results above.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shouwen Fang, Tao Zheng,