6 citations · 22 across the 13 of their papers we have counts for
17 papers
A description of the canonical symplectic form of the cotangent bundle of a generalized flag manifold
Juan Fervenza, Lino Grama, Luiz A. B. San Martin
We investigate the symplectic geometry of homogeneous spaces associated with semisimple Lie groups, with particular emphasis on cotangent bundles of generalized flag manifolds. Our…
The Wasserstein space of the circle is not flat
André Magalhães de Sá Gomes, Christian S. Rodrigues, Luiz A. B. San Martin
We show that the Wasserstein space of the circle is not flat, in contrast with the flatness of the Wasserstein spaces of the real line and of an interval. Its sectional curvature i…
On Differential and Riemannian Calculus on Wasserstein Spaces
André Magalhães de Sá Gomes, Christian S. Rodrigues, Luiz A. B. San Martin
In this paper we develop an intrinsic formalism to study the topology, smooth structure, and Riemannian geometry of the Wasserstein space of a closed Riemannian manifold. Our forma…
Symmetric spaces as adjoint orbits and their geometries
Leonardo F. Cavenaghi, Carolina Garcia, Lino Grama +1
We realize specific classical symmetric spaces, like the semi-Kähler symmetric spaces discovered by Berger, as cotangent bundles of symmetric flag manifolds. These realizations ena…
Lagrangian submanifolds of Adjoint semisimple orbits given by real forms
Jhoan Baez, Luiz A. B. San Martin
We found some Lagrangian submanifolds of the adjoint semisimple orbit in two cases. For the first, the compact case, also known as the Generalized flag manifolds, we prove that the…
Katzarkov-Kontsevich-Pantev conjecture for minimal adjoint orbits
Edoardo Ballico, Elizabeth Gasparim, Francisco Rubilar +1
We prove that LG models for minimal semisimple adjoint orbits satisfy the Katzarkov-Kontsevich-Pantev conjecture about new Hodge theoretical invariants.