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A Fully-nonlinear Flow and Quermassintegral Inequalities in the Sphere by Chen, Chuanqiang; Guan, Pengfei; Li, Junfang; Scheuer, Julian is a scholarly article available to read on EtoBox.

What is A Fully-nonlinear Flow and Quermassintegral Inequalities in the Sphere about?

This expository paper presents the current knowledge of particular fully nonlinear curvature flows with local forcing term, so-called locally constrained curvature flows. We focus on the spherical ambient space. The flows are designed to preserve a quermassintegral and to de-/increase the other quermassintegrals. The convergence of this flow to a round sphere would settle the full set of quermassintegral inequalities for convex domains of the sphere, but a full proof is still missing. Here we collect what is known and hope to attract wide attention to this interesting problem.

Author

Chen, Chuanqiang; Guan, Pengfei; Li, Junfang; Scheuer, Julian

Published

2021

Language

EN