Minimal surfaces in finite volume hyperbolic 3-manifolds N and in MxS(1), M a finite area hyperbolic surface

Autor:	Collin, Pascal, Hauswirth, Laurent, Rosenberg, Harold
Rok vydání:	2013
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We consider properly immersed finite topology minimal surfaces S in complete finite volume hyperbolic 3-manifolds N, and in M x S(1), where M is a complete hyperbolic surface of finite area. We prove S has finite total curvature equal to 2\pi times the Euler characteristic of S, and we describe the geometry of the ends of S.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1304.1773 Zobrazit plný text záznamu View this record from Arxiv