Results 1 to 10 of about 796 (142)
T-duality on nilmanifolds [PDF]
Journal of High Energy Physics, 2018 We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called Infinitesimal T -duality.
Viviana del Barco +2 more
doaj +6 more sources
A Hodge-type decomposition of holomorphic Poisson cohomology on nilmanifolds
Complex Manifolds, 2017 A cohomology theory associated to a holomorphic Poisson structure is the hypercohomology of a bicomplex where one of the two operators is the classical მ̄-operator, while the other operator is the adjoint action of the Poisson bivector with respect to ...
Yat Sun Poon
exaly +2 more sources
The doubled geometry of nilmanifold reductions [PDF]
Journal of High Energy Physics, 2019 A class of special holonomy spaces arise as nilmanifolds fibred over a line interval and are dual to intersecting brane solutions of string theory. Further dualities relate these to T-folds, exotic branes, essentially doubled spaces and spaces with R ...
N. Chaemjumrus, C.M. Hull
doaj +4 more sources
On the Moore Formula of Compact Nilmanifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition ...
Hatem Hamrouni
doaj +4 more sources
Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
Complex Manifolds, 2017 We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics.
Giovanni Bazzoni, Juan Carlos Marrero
exaly +2 more sources
Thed-invariant of compact nilmanifolds
Inventiones Mathematicae, 1984 Let G be a simply connected nilpotent Lie group and \(\Gamma\) a discrete subgroup such that G/\(\Gamma\) is compact. Then a choice of an orientation provides G/\(\Gamma\) with a stable framing. In this note it is shown that the Adams-d-invariant d[G/\(\Gamma\) ] vanishes (if dim G\(>2)\).
exaly +2 more sources
Isometry groups of six-dimensional filiform nilmanifolds [PDF]
International Journal of Group Theory, 2023 In this paper, we classify up to isometry the connected and simply connected Riemannian nilmanifolds on six-dimensional filiform Lie groups and we compute the corresponding isometry groups.
Agota Figula, Sameer Annon Abbas
doaj +1 more source
The anomaly flow on nilmanifolds [PDF]
Annals of Global Analysis and Geometry, 2021 We study the Anomaly flow on $2$-step nilmanifolds with respect to any Hermitian connection in the Gauduchon line. In the case of flat holomorphic bundle, the general solution to the Anomaly flow is given for any initial invariant Hermitian metric. The solutions depend on two constants $K_1$ and $K_2$, and we study the qualitative behaviour of the ...
Mattia Pujia, Luis Ugarte
openaire +5 more sources
International Mathematics Research Notices, 2014 9 pages, to appear in ...
CAPPELLETTI MONTANO, BENIAMINO +3 more
openaire +3 more sources
Abelian Complex Structures and Generalizations
Complex Manifolds, 2021 After a review on the development of deformation theory of abelian complex structures from both the classical and generalized sense, we propose the concept of semi-abelian generalized complex structure.
Poon Yat Sun
doaj +1 more source