Algebraic, topological and analytical techniques in differential geometry and geom...
Geometry of Riemannian, semi-Riemannian varieties and actions of Lie groups
Qualitative theory of differential equations and singularity theory
Abstract
The project involves classical problems in submanifold geometry of local and global character, namely, isometric, affine, minimal, umbilical, conformal and isoparametric immersions in several ambient spaces of finite and infinite dimension, as well as the existence problem for closed geodesics in Riemannian and pseudo-Riemannian manifolds. The methods of investigation involve Lie group actions and Morse theory. (AU)
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