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Differential geometry of singular surfaces in R3

Grant number: 14/22285-0
Support type:Scholarships abroad - Research
Effective date (Start): January 12, 2015
Effective date (End): January 28, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Luciana de Fátima Martins
Grantee:Luciana de Fátima Martins
Host: Juan Jose Nuno Ballesteros
Home 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
Research place: Universitat de València, Spain  
Associated research grant:12/24454-8 - Algebraic, geometric and differential topology, AP.TEM

Abstract

The project is to develop research in Geometry/ Yopology using tools of the Singularity Theory and Differential Topology. We aimed to investigate the index of a binary differential equation given by the pair of foliations on a surface M, defined by the principal directions in an isolated singular point of rank 1 M. We also intend to investigate intrinsic and extrinsic invariants of M and its relations with the umbilical curvature at a singular point. (AU)

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