Parabolic constant mean curvature spacelike surfaces
HTML articles powered by AMS MathViewer
- by Tom Yau-Heng Wan and Thomas Kwok-Keung Au
- Proc. Amer. Math. Soc. 120 (1994), 559-564
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169052-5
- PDF | Request permission
Abstract:
In this paper, we classify Lorentzian isometry classes of parabolic constant mean curvature cuts by conformal classes of nonzero holomorphic quadratic differentials on $\mathbb {C}$.References
- Kazuo Akutagawa and Seiki Nishikawa, The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski $3$-space, Tohoku Math. J. (2) 42 (1990), no. 1, 67–82. MR 1036474, DOI 10.2748/tmj/1178227694
- Hyeong In Choi and Andrejs Treibergs, Gauss maps of spacelike constant mean curvature hypersurfaces of Minkowski space, J. Differential Geom. 32 (1990), no. 3, 775–817. MR 1078162
- Tilla Klotz Milnor, Harmonic maps and classical surface theory in Minkowski $3$-space, Trans. Amer. Math. Soc. 280 (1983), no. 1, 161–185. MR 712254, DOI 10.1090/S0002-9947-1983-0712254-7
- Tom Yau-Heng Wan, Constant mean curvature surface, harmonic maps, and universal Teichmüller space, J. Differential Geom. 35 (1992), no. 3, 643–657. MR 1163452
Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 559-564
- MSC: Primary 53A10; Secondary 35J60, 53A35
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169052-5
- MathSciNet review: 1169052