Triply periodic constant mean curvature surfaces in the hyperbolic space

• Grant number: 09/15408-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 14, 2010
• End date: April 03, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Valério Ramos Batista
• Grantee: Valério Ramos Batista
• Visiting researcher: Karsten Grosse-Brauckmann
• Visiting researcher institution: Technische Universität Darmstadt (TU Darmstadt), Germany
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The Research Project consists of a joint work with Profs. Márcio and Grosse-Brauckmann, for the purpose of writing two papers. The first one deals with the stability of stationary regions obtained in Chapter 3 of Prof. Márcio's Doctoral Thesis. The second is devoted to the Isoperimetric Problem in H^3/G, where G is a translation group generated by three orthogonal vectors. (AU)