Normal Congruences and Lagrangian submanifolds in spaces of geodesics
Free Boundary Minimal Submanifolds in Euclidean Balls and Ricci Surfaces
Grant number: | 12/02724-3 |
Support Opportunities: | Scholarships in Brazil - Doctorate |
Effective date (Start): | May 01, 2012 |
Effective date (End): | July 31, 2015 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Rosa Maria dos Santos Barreiro Chaves |
Grantee: | Maikel Antonio Samuays |
Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
Abstract In this project we aim to study Lagrangian submanifolds in pseudo-Euclidean complex space C^n and in para-complex space D^n, where D is the set of "para-complex" numbers.In the first part of the project, we plan to make a survey of the known results about minimal Lagrangian submanifolds in C^n, and then study those SO(n)-equivariant minimal Lagrangian submanifolds of D^n.Then in the second part we will study self-similar curves in D, i.e. the plane endowed with its canonical Lorentzian metric, as well asthose SO(n)-equivariant self-similar Lagrangian submanifolds of D^n | |
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