Surveys in Differential Geometry

Volume 19 (2014)

Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations

Pages: 1 – 47



Ben Andrews (Mathematical Sciences Institute, Australia National University, Canberra, Australia; and Mathematical Sciences Center, Tsinghua University, Beijing, China)


Estimates on moduli of continuity, isoperimetric profiles of various kinds, and quantities involving function values at several points have been central in several recent results in geometric analysis. This paper surveys some of the techniques and their applications.

Published 6 March 2015