𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spacelike hypersurfaces of constant mean curvature in certain spacetimes

✍ Scribed by Luis J. Alias; Alfonso Romero; Miguel Sánchez


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
504 KB
Volume
30
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Spacelike hypersurfaces with constant hi
✍ Luis J. Alías; J. Miguel Malacarne 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 115 KB

In this paper, we develop a series of general integral formulae for compact spacelike hypersurfaces with hyperplanar boundary in the (n + 1)-dimensional Minkowski space-time L n+1 . As an application of them, we prove that the only compact spacelike hypersurfaces in L n+1 having constant higher orde

Constant mean curvature spacelike hypers
✍ Luis J. Alías; JoséA. Pastor 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 502 KB

We study compact spacelike hypersurfaces (necessarily with non-empty boundary) with constant mean curvature in the (n + 1)-dimensional Lorentz-Minkowski space. In particular, when the boundary is a round sphere we prove that the only such hypersurfaces are the hyperplanar round balls (with zero mean

Remarks on compact spacelike hypersurfac
✍ Luis J. Alı́as; Sung-Eun Koh 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 60 KB

It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if one of the mean curvatures H l does not vanish and the ratio H k /H l is constant for some k, l, 1 ≤ l < k ≤ n. This exte