Abstract
The project deals with some central topics in Riemannian and pseudo-Riemannian Geometry, such as: (1) submanifold theory, (2) isometric actions, (3) minimal and constant mean curvature immersions, (4) geometric variational problems. (AU)
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Henri Nicolas Guillaume Anciaux
CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: França
took his degree and his master in Mathematics at the Université de Rouen (1995 and 1997) and his PhD at the Ecole Normale Supérieure de Cachan (2001). Has experience in Mathematics, focusing on the following subjects: Lagrangian and Legendrian submanifolds, minimal submanifolds, isoperimetric problems, affine discrete geometry (Source: Lattes Curriculum)
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Research grants
- Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM
- Lagrangian submanifolds in pseudo-Riemannian geometry, AP.R
Abstract
The purpose of this project is the study of several variational problems related to Lagrangian submanifolds in certain pseudo-Riemannian manifolds, namely in pseudo-Kahler manifolds. Firstly, we plan to focus on the Hamiltonian stability of minimal or H-minimal Lagrangian submanifolds. In particular, we wish to prove the following conjecture: a H-minimal, non minimal Lagrangian submanifo…
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| 2 / 2 | Completed research grants |
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