Can I read Volume Growth of Gradient Shrinking Ricci Solitons on EtoBox?

Volume Growth of Gradient Shrinking Ricci Solitons by chandan mondal is a document available to read on EtoBox.

What is Volume Growth of Gradient Shrinking Ricci Solitons about?

The document summarizes a proof that any gradient shrinking Ricci soliton has at most Euclidean volume growth. Specifically, it proves that for any such soliton, there exist constants C > 0 and δ > 0 such that for any r ≥ δ, the volume of geodesic balls of radius r is bounded above by Cr^n. This improves on a previous result that required an additional assumption on the growth of scalar curvature. The proof utilizes properties of the potential function f and establishes asymptotic bounds on its growth to co

Author

chandan mondal

Language

EN