Abstract
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.
Citation
Shoichi FUJIMORI. "Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-space." Hokkaido Math. J. 35 (2) 289 - 320, May 2006. https://doi.org/10.14492/hokmj/1285766359
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