3 citations · 4 across the 4 of their papers we have counts for
6 papers
Mobius fluid dynamics on the unitary groups]{Möbius fluid dynamics on the unitary groups
Daniela Emmanuele, Marcos Salvai, Francisco Vittone
We study the nonrigid dynamics induced by the standard birational actions of the split unitary groups , and …
The moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups
Silvio Reggiani, Francisco Vittone
In this paper we determine the moduli space, up to isometric automorphism, of left-invariant metrics on a -dimensional Lie group , such that its Lie algebra ad…
Cones and Cartan geometry
Antonio J. Di Scala, Carlos E. Olmos, Francisco Vittone
We show that the extended principal bundle of a Cartan geometry of type , endowed with its extended connection , is isomorphic to the pri…
Homogeneous Riemannian manifolds with non-trivial nullity
Antonio J. Di Scala, Carlos E. Olmos, Francisco Vittone
We develop a general theory for irreducible homogeneous spaces , in relation to the nullity of their curvature tensor. We construct natural invariant (different and inc…
On the nullity distribution of the second fundamental form of a submanifold of a space form
Francisco Vittone
If M is a submanifold of a space form, the nullity distribution N of its second fundamental form is (when defined) the common kernel of its shape operators. In this paper we will g…
On completeness of integral manifolds of nullity distributions
Carlos Olmos, Francisco Vittone
We give a conceptual proof of the fact that if M is a complete submanifold of a space form, then the maximal integral manifolds of the nullity distribution of its second fundamenta…