## Tsukuba Journal of Mathematics

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

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

#### 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