A survey on cosymplectic geometry
A SURVEY ON COSYMPLECTIC GEOMETRY | Reviews in Mathematical Physics World
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[HTML][HTML] Graded contact manifolds and contact Courant algebroids
J Grabowski - Journal of Geometry and Physics, 2013 - Elsevier
We develop a systematic approach to contact and Jacobi structures on graded
supermanifolds. In this framework, contact structures are interpreted as symplectic principal …
supermanifolds. In this framework, contact structures are interpreted as symplectic principal …
Dirac-Jacobi bundles
L Vitagliano - arxiv preprint arxiv:1502.05420, 2015 - arxiv.org
We show that a suitable notion of Dirac-Jacobi structure on a generic line bundle $ L $, is
provided by Dirac structures in the omni-Lie algebroid of $ L $. Dirac-Jacobi structures on …
provided by Dirac structures in the omni-Lie algebroid of $ L $. Dirac-Jacobi structures on …
Holomorphic Jacobi manifolds and holomorphic contact groupoids
L Vitagliano, A Wade - Mathematische Zeitschrift, 2020 - Springer
This paper belongs to a series of works aiming at exploring generalized (complex) geometry
in odd dimensions. Holomorphic Jacobi manifolds were introduced and studied by the …
in odd dimensions. Holomorphic Jacobi manifolds were introduced and studied by the …
Generalized contact structures
YS Poon, A Wade - Journal of the London Mathematical …, 2011 - Wiley Online Library
We study integrability of generalized almost contact structures, and find conditions under
which the main associated maximal isotropic vector bundles form Lie bialgebroids. These …
which the main associated maximal isotropic vector bundles form Lie bialgebroids. These …
[HTML][HTML] Reduction and submanifolds of generalized complex manifolds
I Vaisman - Differential Geometry and its Applications, 2007 - Elsevier
We recall the presentation of the generalized, complex structures by classical tensor fields,
while noticing that one has a similar presentation and the same integrability conditions for …
while noticing that one has a similar presentation and the same integrability conditions for …
T-duality, gerbes and loop spaces
We revisit sigma models on target spaces given by a principal torus fibration $ X\to M $, and
show how treating the 2-form B as a gerbe connection captures the gauging obstructions …
show how treating the 2-form B as a gerbe connection captures the gauging obstructions …
AV-Courant algebroids and generalized CR structures
D Li-Bland - Canadian Journal of Mathematics, 2011 - cambridge.org
AV-Courant Algebroids and Generalized CR Structures Page 1 Canad. J. Math. Vol. 63 (4),
2011 pp. 938–960 doi:10.4153/CJM-2011-009-1 c Canadian Mathematical Society 2011 AV-Courant …
2011 pp. 938–960 doi:10.4153/CJM-2011-009-1 c Canadian Mathematical Society 2011 AV-Courant …
From generalized Kähler to generalized Sasakian structures
I Vaisman - Journal of Geometry and Symmetry in Physics, 2010 - projecteuclid.org
FROM GENERALIZED KÄHLER TO GENERALIZED SASAKIAN STRUCTURES 1.
Introduction Page 1 JGSP 18 (2010) 63–86 FROM GENERALIZED KÄHLER TO …
Introduction Page 1 JGSP 18 (2010) 63–86 FROM GENERALIZED KÄHLER TO …
Generalized CRF-structures
I Vaisman - Geometriae Dedicata, 2008 - Springer
A generalized F-structure is a complex, isotropic subbundle E of T_cM ⊕ T^* _cM (T_cM=
TM RC and the metric is defined by pairing) such that E ∩ ̄ E^ ⊥= 0. If E is also closed by …
TM RC and the metric is defined by pairing) such that E ∩ ̄ E^ ⊥= 0. If E is also closed by …