Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Gianluca Bande"'
Autor:
Gianluca Bande
Publikováno v:
Mathematics, Vol 11, Iss 13, p 2993 (2023)
In this short note, we prove two properties of symplectic pairs on a four-manifold: firstly we prove that two transversal orientable foliations of codimension two, which are taut for the same Riemannian metric, are the characteristic foliations of a
Externí odkaz:
https://doaj.org/article/54d811e0f2594a8095d525ceb08bb46a
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 199:2117-2124
The aim of this paper is to study Sasakian immersions of (non-compact) complete regular Sasakian manifolds into the Heisenberg group and into $$ {\mathbb{B}}^N\times {\mathbb{R}}$$ equipped with their standard Sasakian structures. We obtain a complet
Autor:
Gianluca Bande, Paolo Ghiggini
We classify four-dimensional manifolds endowed with symplectic pairs admitting embedded symplectic spheres with non-negative self-intersection, following the strategy of McDuff's classification of rational and ruled symplectic four manifolds.
Ac
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32b92b567374489c1d55a8f099073ebb
http://arxiv.org/abs/1802.00790
http://arxiv.org/abs/1802.00790
Autor:
David E. Blair, Gianluca Bande
Publikováno v:
Mathematische Nachrichten. 286:1701-1709
We prove that the universal covering of a complete locally symmetric normal metric contact pair manifold with decomposable ϕ is a Calabi-Eckmann manifold or the Riemannian product of a sphere and . We show that a complete, simply connected, normal m
Autor:
Dieter Kotschick, Gianluca Bande
Publikováno v:
Proceedings of the American Mathematical Society. 137:2419-2424
We formulate and prove the analogue of Moser's stability theorem for locally conformally symplectic structures. As special cases we recover some results previously proved by Banyaga.
6 pages; to appear in Proceedings of the American Mathematical
6 pages; to appear in Proceedings of the American Mathematical
Autor:
Gianluca, Bande, Amine, Hadjar
Publikováno v:
東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 57(2):247-260
We introduce a new geometric structure on differentiable manifolds. A Contact Pair on a $2h+2k+2$-dimensional manifold $M$ is a pair (α,η) of Pfaffian forms of constant classes $2k+1$ and $2h+1$, respectively, whose characteristic foliations are tr
Autor:
Gianluca Bande
Publikováno v:
Transactions of the American Mathematical Society. 355:1699-1711
We introduce a new geometric structure on differentiable manifolds. A contact-symplectic pair on a manifold M is a pair (α, η) where α is a Pfaffian form of constant class 2k + 1 and η a 2-form of constant class 2h such that α Λ dα k Λ η h i
Autor:
Gianluca Bande, Amine Hadjar
We study invariant submanifolds of manifolds endowed with a normal or complex metric contact pair with decomposable endomorphism field $\phi$. For the normal case, we prove that a $\phi$-invariant submanifold tangent to a Reeb vector field and orthog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21989d39e67030182f427c7ddfe9b3d8
Autor:
Gianluca Bande
Publikováno v:
Differential Geometry and its Applications. 11(3):257-263
In this paper we give a generalization of the contact condition to (2k+1) -differential forms (k>0) and we give some trivial examples. Then we construct a family of non-trivial examples on principal bundles.
We consider manifolds endowed with metric contact pairs for which the two characteristic foliations are orthogonal. We give some properties of the curvature tensor and in particular a formula for the Ricci curvature in the direction of the sum of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e8eb0bf2a10abfd46536e2acb6c1342
http://arxiv.org/abs/1110.6278
http://arxiv.org/abs/1110.6278