Tsukuba Journal of Mathematics

Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting

Yuta Ogata

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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.

Article information

Source
Tsukuba J. Math., Volume 39, Number 2 (2016), 259-284.

Dates
First available in Project Euclid: 21 April 2016

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1461270060

Digital Object Identifier
doi:10.21099/tkbjm/1461270060

Mathematical Reviews number (MathSciNet)
MR3490488

Zentralblatt MATH identifier
1341.53015

Subjects
Primary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]
Secondary: 53B30: Lorentz metrics, indefinite metrics

Keywords
differential geometry surface theory integrable systems singularities

Citation

Ogata, Yuta. Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting. Tsukuba J. Math. 39 (2016), no. 2, 259--284. doi:10.21099/tkbjm/1461270060. https://projecteuclid.org/euclid.tkbjm/1461270060


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