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math.DG2024
Bundle type sub-Riemannian structures on holonomy bundles
Eder M. Correa, Giovane Galindo, Lino Grama
In this paper, combining the Rashevsky-Chow-Sussmann (orbit) theorem with the Ambrose-Singer theorem, we introduce the notion of controllable principal connections on principal …
math.DG2024
A Geometric Realization of Spherical T-Duality via -Diagrams
Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov
We relate spherical T-duality for oriented linear -bundles over (the Milnor bundles , which are -principal exactly when or…
math.DG2024★ 2 cited
Gromoll--Meyer's actions and the geometry of (exotic) spacetimes
Leonardo F. Cavenaghi, Lino Grama
Since the advent of new pairwise non-diffeomorphic structures on smooth manifolds, it has been questioned whether two topologically identical manifolds could admit different geomet…