The projets addresses several topics in differential geometry and geometric analysis, including: 1) group and groupoid actions in riemannian and pseudo-riemannian manifolds; 2) submanifold theory, minimal submanifolds and constant mean curvature hypersurfaces; 3) variational calculus and global analysis in riemannian, sub-riemannian and pseudo-riemannian geometry, with applications to general relativity; 4) Lusternik-Schnirelman Theory, Morse Theory; 5) geometric variational problems and PDEs on manifolds; 6) isometric immersions in riemannian and pseudo-riemannian manifolds; 7) geometric theory of foliations; 8) Lie groupoids and algebroids, Poisson and Dirac geometry, G-structures; 9) Finsler and pseudo-Finsler manifolds. (AU)
Articles published in Agência FAPESP Newsletter about the research grant:
Highly curved orbit spaces.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS,
Web of Science Citations: 0.
ALEXANDRINO, MARCOS M.;
ALVES, BENIGNO O.;
ANGEL JAVALOYES, MIGUEL.
On singular Finsler foliation.
Annali di Matematica Pura ed Applicata,
Web of Science Citations: 3.