Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Bazzoni, Giovanni"'
We compute the dimensions of the moduli spaces of left-invariant closed and coclosed $\mathrm{G}_2$-structures on 7-dimensional nilmanifolds, showing that they are not related to the third Betti number. We also prove that the group of automorphisms o
Externí odkaz:
http://arxiv.org/abs/2307.04732
Publikováno v:
Linear Algebra and its Applications, 2023
We present two constructions of complex symplectic structures on Lie algebras with large abelian ideals. In particular, we completely classify complex symplectic structures on almost abelian Lie algebras. By considering compact quotients of their cor
Externí odkaz:
http://arxiv.org/abs/2211.08258
We classify 7-dimensional nilpotent Lie groups, decomposable or of nilpotency step at most 4, endowed with left-invariant purely coclosed $G_2$-structures. This is done by going through the list of all 7-dimensional nilpotent Lie algebras given by Go
Externí odkaz:
http://arxiv.org/abs/2111.08399
On a complex manifold $(M,J)$, we interpret complex symplectic and pseudo-K\"ahler structures as symplectic forms with respect to which $J$ is, respectively, symmetric and skew-symmetric. We classify complex symplectic structures on 4-dimensional Lie
Externí odkaz:
http://arxiv.org/abs/2101.11953
Publikováno v:
In Linear Algebra and Its Applications 15 November 2023 677:254-305
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We introduce spin-harmonic structures, a class of geometric structures on Riemannian manifolds of low dimension which are defined by a harmonic unitary spinor. Such structures are related to SU(2) (dim=4,5), SU(3) (dim=6) and G_2 (dim=7) structures;
Externí odkaz:
http://arxiv.org/abs/1904.01462
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 theory.
Comment: 26 pages; comments are welcome!
Comment: 26 pages; comments are welcome!
Externí odkaz:
http://arxiv.org/abs/1903.00380
We investigate Lie algebras endowed with a complex symplectic structure and develop a method, called \emph{complex symplectic oxidation}, to construct certain complex symplectic Lie algebras of dimension $4n+4$ from those of dimension $4n$. We specia
Externí odkaz:
http://arxiv.org/abs/1811.05969
Autor:
Bazzoni, Giovanni, Raffero, Alberto
Publikováno v:
Axioms 2018, 7(4), 90
Motivated by analogous results in locally conformal symplectic geometry, we study different classes of G$_2$-structures defined by a locally conformal closed 3-form. In particular, we give a complete characterization of invariant exact locally confor
Externí odkaz:
http://arxiv.org/abs/1810.10991