Results 21 to 30 of about 402 (139)
Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures
Bulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1862-1872, October 2022., 2022 Abstract We show that the existence of a left‐invariant pluriclosed Hermitian metric on a unimodular Lie group with a left‐invariant abelian complex structure forces the group to be 2‐step nilpotent. Moreover, we prove that the pluriclosed flow starting from a left‐invariant Hermitian metric on a 2‐step nilpotent Lie group preserves the Strominger ...
Anna Fino +2 more
wiley +1 more source
Coincidence Wecken Property for Nilmanifolds [PDF]
Acta Mathematica Sinica, English Series, 2018 Let $f,g:X\to Y$ be maps from a compact infra-nilmanifold $X$ to a compact nilmanifold $Y$ with $\dim X\ge \dim Y$. In this note, we show that a certain Wecken type property holds, i.e., if the Nielsen number $N(f,g)$ vanishes then $f$ and $g$ are deformable to be coincidence free.
Gonçalves, Daciberg, Wong, Peter
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Duality of Hodge numbers of compact complex nilmanifolds
Complex Manifolds, 2015 A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
Yamada Takumi
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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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On the Signature of the Ricci Curvature on Nilmanifolds [PDF]
Transformation Groups, 2022 11 ...
Arroyo, Romina M., Lafuente, Ramiro A.
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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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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.
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SKT structures on nilmanifolds
Mathematische Zeitschrift, 2022 12 ...
Arroyo, Romina Melisa, Nicolini, Marina
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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.
Bazzoni Giovanni, Marrero Juan Carlos
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Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
doaj +1 more source