We show that an Osserman-type inequality holds for spacelike surfaces of constant mean curvature 1 with singularities and with elliptic ends in de Sitter 3-space.
An immersed end of a constant mean curvature 1 surface is an "elliptic end" if the monodromy representation at the end is diagonalizable with eigenvalues in the unit circle. We also give a necessary and sufficient condition for equality in the inequality to hold, and in the process of doing this we derive a condition for determining when elliptic ends
are embedded.
Publié le : 2006-05-15
Classification:
de Sitter 3-space,
spacelike CMC 1 surface,
admissible singularities,
53B30,
53A10
@article{1285766359,
author = {FUJIMORI, Shoichi},
title = {Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-space},
journal = {Hokkaido Math. J.},
volume = {35},
number = {1},
year = {2006},
pages = { 289-320},
language = {en},
url = {http://dml.mathdoc.fr/item/1285766359}
}
FUJIMORI, Shoichi. Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-space. Hokkaido Math. J., Tome 35 (2006) no. 1, pp. 289-320. http://gdmltest.u-ga.fr/item/1285766359/