Classic geometries and the construction of hyperbolic manifolds

• Grant number: 12/07587-4
• Support Opportunities: Regular Research Grants
• Duration: July 01, 2012 - June 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Carlos Henrique Grossi Ferreira
• Grantee: Carlos Henrique Grossi Ferreira
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The main goals of this research plan are the construction of new examples of complex hyperbolic disc bundles over closed orientable surfaces and the construction of new isometric embeddings between manifolds equipped with a classic geometry structure (as defined in [4] - see research plan). We expect to answer some relevant questions in complex hyperbolic geometry (see sections 3.2 and 4.1 of the research plan) and to obtain new applications in Riemannian and pseudo-Riemannian geometries of the approach to classic geometries introduced in [4]. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ANAN'IN, SASHA; GROSSI, CARLOS H.; DA SILVA, JULIO C. C.. POINCARE'S POLYHEDRON THEOREM FOR COCOMPACT GROUPS IN DIMENSION 4. MOSCOW MATHEMATICAL JOURNAL, v. 14, n. 4, p. 645-667, OCT-DEC 2014. (12/07587-4)