an:01292223
Zbl 0981.53049
Nelli, Barbara; Semmler, Beate
Some remarks on compact constant mean curvature hypersurfaces in a halfspace of \(\mathbb{H}^{n+1}\)
EN
J. Geom. 64, No. 1-2, 128-140 (1999).
00053266
1999
j
53C42 53A10
constant mean curvature; large hypersurfaces; Alexandrov reflection technique
The authors give a theorem (see the abstract of the paper for a complete statement of it) for hypersurfaces of constant mean curvature in a halfspace of hyperbolic space \(\mathbb H ^{n+1}\). They consider embedded compact hypersurfaces \(M\) with boundary \(\partial M\) in the boundary geodesic hyperplane \(P\) of the halfspace and with non-zero mean curvature. They also prove a result about the topology of such hypersurfaces.
Ildefonso Castro Lopez (Jaen)