6 citations · 12 across the 10 of their papers we have counts for
13 papers
On the structure of -step nilpotent Lorentzian naturally reductive Lie groups
Brian Luporini, Silvio Reggiani, Francisco Vittone
We study -step nilpotent Lie groups with naturally reductive left-invariant Lorentzian metrics with respect to the presentation group . Replacin…
The distribution of symmetry of Lorentzian naturally reductive nilmanifolds
Brian Luporini, Silvio Reggiani, Francisco Vittone
We study -step nilpotent Lorentzian Lie groups , which are naturally reductive with respect to a certain class of transitive subgroups of isometries. We describe the isotropy…
The structure of homogeneous Riemannian manifolds with nullity
Antonio J. Di Scala, Carlos E. Olmos, Francisco Vittone
We find new conditions that the existence of nullity of the curvature tensor of an irreducible homogeneous space imposes on the Lie algebra of and on the…
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…
Mok's characteristic varieties and the normal holonomy group
Antonio J. Di Scala, Francisco Vittone
In this paper we complete the study of the normal holonomy groups of complex submanifolds (non nec. complete) of Cn or CPn. We show that irreducible but non transitive normal holon…
Lorentzian compact manifolds: isometries and geodesics
V. del Barco, G. P. Ovando, F. Vittone
In this work we investigate families of compact Lorentzian manifolds in dimension four. We show that every lightlike geodesic on such spaces is periodic, while there are closed and…
Codimension reduction in symmetric spaces
Antonio J. Di Scala, Francisco Vittone
In this paper we give a short geometric proof of a generalization of a well-known result about reduction of codimension for submanifolds of Riemannian symmetric spaces.
Naturally reductive pseudo-Riemannian Lie groups in low dimensions
Viviana del Barco, Gabriela P. Ovando, Francisco Vittone
This work concerns the non-flat metrics on the Heisenberg Lie group of dimension three $\Heis_3(\RR)$ and the bi-invariant metrics on the solvable Lie groups of dimension four. On…
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…