12 citations · 18 across the 9 of their papers we have counts for
9 papers · 1 filter
Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
Sergio Console, Maura Macrì
We construct lattices on six dimensional not completely solvable almost abelian Lie groups, for which the Mostow condition does not hold. For the corresponding compact quotients, w…
Solvable models for Kodaira surfaces
Sergio Console, Gabriela P. Ovando, Mauro Subils
We consider three families of lattices on the oscillator group , which is an almost nilpotent not completely solvable Lie group, giving rise to coverings $G \to M_{k, 0} \to M_{…
On the de Rham cohomology of solvmanifolds
Sergio Console, Anna Fino
By using results by D. Witte on the superigidity of lattices in solvable Lie groups we get a different proof of a recent remarkable result obtained by D. Guan on the de Rham cohomo…
A Berger type normal holonomy theorem for complex submanifolds
Sergio Console, Antonio J. Di Scala, Carlos Olmos
We prove a Berger type theorem for the normal holonomy group (i.e., the holonomy group of the normal connection) of a full complete complex submanifold of the complex projective sp…
Curvature invariants, Killing vector fields, connections and cohomogeneity
Sergio Console, Carlos Olmos
A direct, bundle-theoretic method for defining and extending local isometries out of curvature data is developed. As a by-product, conceptual direct proofs of a classical result of…
Parallel submanifolds of complex projective space and their normal holonomy
Antonio J. Di Scala, Sergio Console
The object of this article is to compute the holonomy group of the normal connection of complex parallel submanifolds of the complex projective space. We also give a new proof of t…