K-Cosymplectic manifolds

G Bazzoni, O Goertsches - Annals of Global Analysis and Geometry, 2015 - Springer
In this paper we study K-cosymplectic manifolds, ie, smooth cosymplectic manifolds for
which the Reeb field is Killing with respect to some Riemannian metric. These structures …

A note on the symplectic topology of -manifolds

P Frejlich, D Martínez Torres, E Miranda - Journal of Symplectic …, 2017 - intlpress.com
Abstract A Poisson manifold $(M^{2n},\pi) $ is $ b $-symplectic if $\bigwedge^ n\pi $ is
transverse to the zero section. We prove an $ h $-principle for open, $ b $-symplectic …

Vanishing cycles of symplectic foliations

F Gironella, K Niederkrüger, L Toussaint - arXiv preprint arXiv:2410.07090, 2024 - arxiv.org
Recent years have shown that the usual generalizations of taut foliations to higher
dimensions, based only on topological concepts, do not yield a theory comparable in …

Fillability obstructions for high-dimensional confoliations

R Cardona, F Gironella - arXiv preprint arXiv:2410.06918, 2024 - arxiv.org
In this paper, we study confoliations in dimensions higher than three mostly from the
perspective of symplectic fillability. Our main result is that Massot-Niederkr\" uger-Wendl's …

The geometry of 2-calibrated manifolds

DM Torres - Portugaliae Mathematica, 2009 - ems.press
We define 2-calibrated structures, which are analogs of symplectic structures in odd
dimensions. We show the existence of differential topological constructions compatible with …

A note on symplectic topology of -manifolds

P Frejlich, DM Torres, E Miranda - arXiv preprint arXiv:1312.7329, 2013 - arxiv.org
A Poisson manifold $(M^{2n},\p) $ is $ b $-symplectic if $\bigwedge^ n\p $ is transverse to
the zero section. In this paper we apply techniques native to Symplectic Topology to address …

[PDF][PDF] Some properties of cosymplectic manifolds

PC Bikorimana, UDAC UAC - preprint - researchgate.net
In this paper, we study the cosymplectic structures, weak cosymplectic geometry and
coPoisson structures. We prove that Cosymp0 (M, η, ω) the connected component of the …

h-Principle for contact foliations

R Casals, A del Pino, F Presas - … Mathematics Research Notices, 2015 - academic.oup.com
h-Principle for Contact Foliations | International Mathematics Research Notices | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search …

[HTML][HTML] Hereditary properties of co-Kähler manifolds

G Bazzoni, G Lupton, J Oprea - Differential Geometry and its Applications, 2017 - Elsevier
We show how certain topological properties of co-Kähler manifolds derive from those of the
Kähler manifolds which construct them. We go beyond Betti number results and describe the …

A note on Mitsumatsu's construction of a leafwise symplectic foliation

A Mori - International Mathematics Research Notices, 2019 - academic.oup.com
Mitsumatsu constructed a leafwise symplectic structure of the Lawson foliation of S 5.
Following his construction, we improve a previous result of the author on convergence of …