Communications in Analysis and Geometry

Volume 29 (2021)

Number 6

A maximum principle for free boundary minimal varieties of arbitrary codimension

Pages: 1509 – 1521

DOI: https://dx.doi.org/10.4310/CAG.2021.v29.n6.a7

Authors

Martin Man-chun Li (Department of Mathematics, Chinese University of Hong Kong)

Xin Zhou (Department of Mathematics, University of California, Santa Barbara, Calif., U.S.A.)

Abstract

We establish a boundary maximum principle for free boundary minimal submanifolds in a Riemannian manifold with boundary, in any dimension and codimension. Our result holds more generally in the context of varifolds.

Full Text (PDF format)

Received 31 October 2017

Accepted 19 December 2018

Published 11 January 2022