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VOL. 78 | 2018 Constant mean curvature surfaces with $D_4$-singularities
Yuta Ogata, Keisuke Teramoto

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto, Masatomo Takahashi

Abstract

We study $D_4$-singularities of constant mean curvature (CMC) surfaces in Riemannian and semi-Riemannian spaceforms. We will give criteria for $D_4^{-}$-singularities, which are related to the Hopf differential. We also show the non-existence of (spacelike) CMC surfaces with $D_4^+$-singularities.

Information

Published: 1 January 2018
First available in Project Euclid: 4 October 2018

zbMATH: 1420.53068
MathSciNet: MR3839953

Digital Object Identifier: 10.2969/aspm/07810345

Subjects:
Primary: 53A10
Secondary: 53B30, 57R45

Rights: Copyright © 2018 Mathematical Society of Japan

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