Heinz-type mean curvature estimates in Lorentz-Minkowski space

Atsufumi Honda, Yu Kawakami, Miyuki Koiso, Syunsuke Tori

Research output: Contribution to journalArticlepeer-review

Abstract

We provide a unified description of Heinz-type mean curvature estimates under an assumption on the gradient bound for space-like graphs and time-like graphs in the Lorentz-Minkowski space. As a corollary, we give a unified vanishing theorem of mean curvature for these entire graphs of constant mean curvature.

Original languageEnglish
JournalRevista Matematica Complutense
DOIs
Publication statusAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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