Closed curves on hyperbolic manifolds.

• Grant number: 18/15750-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2018
• End date: September 22, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: André Salles de Carvalho
• Grantee: Cayo Rodrigo Felizardo Dória
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

In this work we are interested in understanding hyperbolic manifolds of dimension 2 and 3 using their closed geodesics.

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)

DORIA, CAYO; PAULA, GISELE TEIXEIRA. Height Estimates for Bianchi Groups. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 3, p. 613-627, SEP 2021. (18/15750-9)

DORIA, CAYO; MURILLO, PLINIO G. P.. HYPERBOLIC 3-MANIFOLDS WITH LARGE KISSING NUMBER. Proceedings of the American Mathematical Society, v. 149, n. 11, p. 4595-4607, NOV 2021. (18/15750-9)

COSAC, GREGORY; DORIA, CAYO. Closed geodesics on semi-arithmetic Riemann surfaces. MATHEMATICAL RESEARCH LETTERS, v. 29, n. 4, p. 41-pg., 2022-01-01. (18/15750-9)