Zobrazeno 1 - 10 of 23 pro vyhledávání: '"Giovanni Bazzoni"'
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Akademický článek
Special Types of Locally Conformal Closed G2-Structures
Autor: Giovanni Bazzoni, Alberto Raffero
Publikováno v: Axioms, Vol 7, Iss 4, p 90 (2018)
Motivated by known 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 provide a complete characterization of invariant exact locally conforma
Externí odkaz: https://doaj.org/article/fce5574f8f3e48449dc8d31a0ea82a5f
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3
Structure of locally conformally symplectic Lie algebras and solvmanifolds
Autor: Giovanni Bazzoni, Daniele Angella, Maurizio Parton
We obtain structure results for locally conformally symplectic Lie algebras. We classify locally conformally symplectic structures on four-dimensional Lie algebras and construct locally conformally symplectic structures on compact quotients of all fo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c027e6b6a6f1dc6a5a50e508772f631
http://hdl.handle.net/11383/2086823
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5
Symmetric and skew-symmetric complex structures
Autor: Adela Latorre, Alejandro Gil-García, Giovanni Bazzoni
Publikováno v: Journal of Geometry and Physics. 170:104348
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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95d89fe889d00c4f7a29da7946bf6af9
https://doi.org/10.1016/j.geomphys.2021.104348
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6
Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
Autor: Giovanni Bazzoni, Juan Carlos Marrero
Publikováno v: Complex Manifolds, Vol 4, Iss 1, Pp 172-178 (2017)
We obtain an example of a compact locally conformal symplectic nilmanifold which admits no locally conformal K\"ahler metrics. This gives a new positive answer to a question raised by L. Ornea and M. Verbitsky.
Comment: 7 pages, no figures. Comm
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05c36ebc4e2a5c10814fe89e3d280d6f
https://doaj.org/article/f3f883313e8e43d987c16d13c0b99ff1
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8
Homotopy Invariants and Almost Non-Negative Curvature
Autor: Gregory Lupton, John Oprea, Giovanni Bazzoni
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!
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c27c22254ee933454884e7c1a73dc25d
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9
Parallel Forms, Co-Kähler Manifolds and their Models
Autor: John Oprea, Giovanni Bazzoni, Gregory Lupton
Publikováno v: Bull. Belg. Math. Soc. Simon Stevin 25, no. 1 (2018), 1-11
Scopus-Elsevier
We show how certain topological properties of co-Kähler manifolds derive from those of the Kähler manifolds which construct them. In particular, we show that the existence of parallel forms on a co-Kähler manifold reduces the computation of cohomo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::577b78f6aeeb41637507f0509bc4f282
https://doi.org/10.36045/bbms/1523412047
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10
Locally conformally symplectic and Kähler geometry
Autor: Giovanni Bazzoni
The goal of this note is to give an introduction to locally conformally symplectic and K\"ahler geometry. In particular, Sections 1 and 3 aim to provide the reader with enough mathematical background to appreciate this kind of geometry. The reference
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::793ea48866a58eb8073c2f8630be81de
http://hdl.handle.net/11383/2086818
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