Nash Entropy and Heat Kernel on Generalized Ricci Flow
Xilun Li
TL;DR
This paper introduces new geometric quantities related to Nash entropy and heat kernel in the context of generalized Ricci flow, providing bounds and analytic insights into this evolving geometric setting.
Contribution
It defines analogous geometric quantities and establishes bounds in generalized Ricci flow, extending previous work to a broader geometric framework.
Findings
Established geometric bounds for Nash entropy in generalized Ricci flow
Derived analytic estimates for heat kernel behavior
Extended previous Ricci flow results to a generalized setting
Abstract
We introduce analogous geometric quantities and prove some geometric and analytic bounds in [Bam20a] to generalized Ricci flow.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Cosmology and Gravitation Theories