On deformation of submanifolds

• Grant number: 22/05321-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2022
• End date: August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ruy Tojeiro de Figueiredo Junior
• Grantee: Miguel Ibieta Jimenez
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 23/06762-1 - Infinitesimally Bonnet bendable submanifolds in codimension 2, BE.EP.PD

Abstract

This project lies in the domain of Differential Geometry. The main objective is to study geometric aspects of submanifolds in Riemannian manifolds. More precisely, we are interested in the following topics: isometric, conformal and infinitesimal rigidity aspects of submanifolds of the Euclidean space and other ambient spaces. (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)

AND, MARCOS DAJCZER; JIMENEZ, MIGUEL IBIETA. THE INFINITESIMAL DEFORMATIONS OF HYPERSURFACES THAT PRESERVE THE GAUSS MAP. Proceedings of the American Mathematical Society, v. 152, n. 8, p. 9-pg., 2024-06-05. (22/05321-9)

JIMENEZ, M. I.; TOJEIRO, R.. Infinitesimally Moebius bendable hypersurfaces. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 67, n. 1, p. 25-pg., 2024-01-11. (22/16097-2, 22/05321-9)

JIMENEZ, MIGUEL IBIETA; TOJEIRO, RUY. On the Moebius deformable hypersurfaces. REVISTA MATEMATICA IBEROAMERICANA, v. 40, n. 2, p. 18-pg., 2024-01-01. (22/05321-9, 16/23746-6)