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Diameter Estimate in Geometric Flows

Author

Listed:
  • 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)

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.

Suggested Citation

  • Shouwen Fang & Tao Zheng, 2023. "Diameter Estimate in Geometric Flows," Mathematics, MDPI, vol. 11(22), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4659-:d:1281391
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