Diameter Estimate in Geometric Flows

Shouwen Fang and Tao Zheng ()
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Shouwen Fang: School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
Tao Zheng: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China

Mathematics, 2023, vol. 11, issue 22, 1-12

Abstract: We prove the upper and lower bounds of the diameter of a compact manifold ( M , g ( t ) ) with dim R M = n ( n ≥ 3 ) and a family of Riemannian metrics g ( t ) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow, and Lorentzian mean curvature flow on an ambient Lorentzian manifold with non-negative sectional curvature.

Keywords: geometric flow; heat kernel; diameter bound (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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