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March 2016 Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting
Yuta Ogata
Tsukuba J. Math. 39(2): 259-284 (March 2016). DOI: 10.21099/tkbjm/1461270060

Abstract

We study the construction of spacelike constant mean curvature (CMC) surfaces with mean curvature $0 \le H \lt 1$ in 3-dimensional de Sitter space $\mathbf{S}^{2, 1}$, by using Iwasawa splitting. We also study their singularities and create some criteria for them.

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Yuta Ogata. "Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting." Tsukuba J. Math. 39 (2) 259 - 284, March 2016. https://doi.org/10.21099/tkbjm/1461270060

Information

Published: March 2016
First available in Project Euclid: 21 April 2016

zbMATH: 1341.53015
MathSciNet: MR3490488
Digital Object Identifier: 10.21099/tkbjm/1461270060

Subjects:
Primary: 53A10
Secondary: 53B30

Rights: Copyright © 2016 University of Tsukuba, Institute of Mathematics

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Vol.39 • No. 2 • March 2016
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