Differential geometry of the focal set

• Grant number: 16/21226-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: January 01, 2017
• End date: January 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Luciana de Fátima Martins
• Grantee: Samuel Paulino dos Santos
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

The objective of this project is, using tool of the Singularity Theory and of the Differential Geometry, to study the geometry of the focal set of a regular surface M of the Euclidean space R3 and deduce from this geometry information on the surface M. (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)

MARTINS LUCIANA F.; KENTARO SAJI; SAMUEL P. DOS SANTOS; KEISUKE TERAMOTO. Singular surfaces of revolution with prescribed unbounded mean curvature. Anais da Academia Brasileira de Ciências, v. 91, n. 3, 2019-09-02. (18/17712-7, 18/19610-7, 16/21226-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SANTOS, Samuel Paulino dos. Differential Geometry of the Focal Set. 2018. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.