Results 1 to 10 of about 1,696 (39)
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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Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics [PDF]
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.
Bazzoni Giovanni, Marrero Juan Carlos
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Harmonic Analysis in One-Parameter Metabelian Nilmanifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
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Gauge-Higgs models from nilmanifolds
Physics Letters B, 2022 We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to
Aldo Deandrea +2 more
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Dirac operator spectrum on a nilmanifold
Nuclear Physics B, 2022 We obtain the spectrum of the Dirac operator on the three-dimensional Heisenberg nilmanifold M3, and its complete dependence on the metric moduli.
Aldo Deandrea +2 more
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Laplacian spectrum on a nilmanifold, truncations and effective theories
Journal of High Energy Physics, 2018 Motivated by low energy effective theories arising from compactification on curved manifolds, we determine the complete spectrum of the Laplacian operator on the three-dimensional Heisenberg nilmanifold.
David Andriot, Dimitrios Tsimpis
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Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 In this paper, we consider several invariant complex structures on a compact real nilmanifold, and we study relations between invariant complex structures and Hodge numbers.
Yamada Takumi
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Degree of non-K\"ahlerianity for 6-dimensional nilmanifolds [PDF]
, 2015 We use Bott-Chern cohomology to measure the non-K\"ahlerianity of 6-dimensional nilmanifolds endowed with the invariant complex structures in M. Ceballos, A. Otal, L. Ugarte, and R.
Angella, Daniele +2 more
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Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
European Physical Journal C: Particles and Fields, 2023 We investigate whether quasinormal modes (QNMs) can be used in the search for signatures of extra dimensions. To address a gap in the Beyond the Standard Model (BSM) literature, we focus here on higher dimensions characterised by negative Ricci curvature.
Anna Chrysostomou +4 more
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Special holonomy manifolds, domain walls, intersecting branes and T-folds
Journal of High Energy Physics, 2020 We discuss the special holonomy metrics of Gibbons, Lu, Pope and Stelle, which were constructed as nilmanifold bundles over a line by uplifting supersymmetric domain wall solutions of supergravity to 11 dimensions.
N. Chaemjumrus, C.M. Hull
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