Results 11 to 20 of about 796 (142)
Extended Riemannian geometry III: global Double Field Theory with nilmanifolds
Journal of High Energy Physics, 2019 We describe the global geometry, symmetries and tensors for Double Field Theory over pairs of nilmanifolds with fluxes or gerbes. This is achieved by a rather straightforward application of a formalism we developed previously.
Andreas Deser, Christian Sämann
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On generalized Gauduchon nilmanifolds [PDF]
Differential Geometry and its Applications, 2017 We construct invariant generalized Gauduchon metrics on the product of two complex nilmanifolds that do not necessarily admit this kind of metrics. In particular, we prove that the product of a locally conformal Kähler nilmanifold and a balanced nilmanifold admits a generalized Gauduchon metric.
A. Latorre, L. Ugarte, R. Villacampa
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SKT structures on nilmanifolds
Mathematische Zeitschrift, 2022 12 ...
Arroyo, Romina Melisa, Nicolini, Marina
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On the Spectra of Compact Nilmanifolds [PDF]
Transactions of the American Mathematical Society, 1985 We show the equivalence of the Howe-Richardson multiplicity formula for compact nilmanifolds and the formula obtained by Corwin and Greenleaf using the Selberg trace formula.
Jeffrey S. Fox
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A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types [PDF]
Complex Manifolds, 2018 We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela +2 more
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On the Real Homotopy Type of Generalized Complex Nilmanifolds [PDF]
Mathematics, 2020 We prove that for any n≥4, there are infinitely many real homotopy types of 2n-dimensional nilmanifolds admitting generalized complex structures of every type k, for 0≤k≤n.
Adela Latorre +2 more
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Analytic torsion of nilmanifolds with (2, 3, 5) distributions
Analysis and Geometry in Metric SpacesWe consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.
Haller Stefan
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On the Analytic Structure of Commutative Nilmanifolds [PDF]
The Journal of Geometric Analysis, 2015 In the classification theorems of Vinberg and Yakimova for commutative nilmanifolds, the relevant nilpotent groups have a very surprising analytic property. The manifolds are of the form $G/K = N \rtimes K/K$ where, in all but three cases, the nilpotent group $N$ has irreducible unitary representations whose coefficients are square integrable modulo ...
Wolf, Joseph A
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Some remarks on semi-classical analysis\\ on two-step Nilmanifolds [PDF]
, 2022 In this paper, we present recent results about the developement of a semiclassical approach in the setting of nilpotent Lie groups and nilmanifolds. We focus on two-step nilmanifolds and exhibit some properties of the weak limits of sequence of densities
Fischer, Véronique +2 more
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Bulletin of the London Mathematical Society, 2016 We prove that if a compact nilmanifold $Γ\backslash G$ is endowed with a Vaisman structure, then $G$ is isomorphic to the Cartesian product of the Heisenberg group with $\mathbb{R}$.
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