7 citations · 14 across the 9 of their papers we have counts for
5 papers · 1 filter
The Riemannian geometry of the probability space of the unit circle
André Magalhães de Sá Gomes, Christian S. Rodrigues, Luiz A. B. San Martin
This paper explores the Riemannian geometry of the Wasserstein space of the circle, namely , the set of probability measures on the unit circle endowed with the 2-Wassers…
Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds
Jhoan Báez, Luiz A. B. San Martin
We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The two structures admit th…
De Rham -cohomology of real flag manifolds
Viviana del Barco, Luiz A. B. San Martin
Let be a flag manifold associated to a non-compact real simple Lie group and the parabolic subgroup . This is a closed subgroup of determi…
Invariant Generalized Complex Structures on Flag Manifolds
Carlos A. B. Varea, Luiz A. B. San Martin
Let be a complex semi-simple Lie group and form its maximal flag manifold where is a minimal parabolic subgroup, a compact real form and $T=U\cap P…
Orientability of vector bundles over real flag manifolds
Mauro Patrão, Luiz A. B. San Martin, Laércio J. dos Santos +1
We investigate the orientability of a class of vector bundles over flag manifolds of real semi-simple Lie groups, which include the tangent bundle and also stable bundles of certai…