16 citations · 87 across the 25 of their papers we have counts for
5 papers · 1 filter
Homotopy Invariants and Almost Non-Negative Curvature
Giovanni Bazzoni, Gregory Lupton, John Oprea
This paper explores the relation between the structure of fibre bundles akin to those associated to a closed almost nonnegatively sectionally curved manifold and rational homotopy…
Hereditary properties of co-Kähler manifolds
Giovanni Bazzoni, Gregory Lupton, John Oprea
We show how certain topological properties of co-K{ä}hler manifolds derive from those of the Kähler manifolds which construct them. We go beyond Betti number results and describe t…
Non-formal co-symplectic manifolds
Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz
We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero…
Minimal algebras and step nilpotent Lie algebras in dimension 7
Giovanni Bazzoni
We use the methods of \cite{BM} to give a classification of dimensional minimal algebras, generated in degree 1, over any field $\bk$ of characteristic $\textrm{char}(\bk)\neq…
Classification of Minimal Algebras over any Field up to Dimension 6
Giovanni Bazzoni, Vicente Muñoz
We give a classification of minimal algebras generated in degree 1, defined over any field $\bk$ of characteristic different from 2, up to dimension 6. This recovers the classifica…