Hypersurfaces of constant curvature in hyperbolic space II
Journal of the European Mathematical Society, Tome 12 (2010) no. 3, pp. 797-817
Cet article a éte moissonné depuis la source EMS Press
This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.
Classification :
53-XX, 00-XX
Keywords: Hyperbolic space, hypersurfaces of constant curvature, asymptotic boundary, fully nonlinear elliptic equations
Keywords: Hyperbolic space, hypersurfaces of constant curvature, asymptotic boundary, fully nonlinear elliptic equations
@article{JEMS_2010_12_3_a6,
author = {Bo Guan and Joel Spruck},
title = {Hypersurfaces of constant curvature in hyperbolic space {II}},
journal = {Journal of the European Mathematical Society},
pages = {797--817},
year = {2010},
volume = {12},
number = {3},
doi = {10.4171/jems/215},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/215/}
}
TY - JOUR AU - Bo Guan AU - Joel Spruck TI - Hypersurfaces of constant curvature in hyperbolic space II JO - Journal of the European Mathematical Society PY - 2010 SP - 797 EP - 817 VL - 12 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/215/ DO - 10.4171/jems/215 ID - JEMS_2010_12_3_a6 ER -
Bo Guan; Joel Spruck. Hypersurfaces of constant curvature in hyperbolic space II. Journal of the European Mathematical Society, Tome 12 (2010) no. 3, pp. 797-817. doi: 10.4171/jems/215
Cité par Sources :