Results 41 to 50 of about 1,765 (105)
A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types
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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Ricci Nilsoliton Black Holes [PDF]
, 2008 We follow a constructive approach and find higher-dimensional black holes with Ricci nilsoliton horizons. The spacetimes are solutions to Einstein's equation with a negative cosmological constant and generalises therefore, anti-de Sitter black hole ...
Aebischer +35 more
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On generalized Gauduchon nilmanifolds
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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Killing Forms on 2-Step Nilmanifolds [PDF]
The Journal of Geometric Analysis, 2019 We study left-invariant Killing $k$-forms on simply connected $2$-step nilpotent Lie groups endowed with a left-invariant Riemannian metric. For $k=2,3$, we show that every left-invariant Killing $k$-form is a sum of Killing forms on the factors of the de Rham decomposition. Moreover, on each irreducible factor, non-zero Killing $2$-forms define (after
del Barco, Viviana, Moroianu, Andrei
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Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
Complex Manifolds, 2017 Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t.
Yamada Takumi
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Almost everywhere summability on nilmanifolds [PDF]
Transactions of the American Mathematical Society, 1983 Let G G be a stratified, nilpotent Lie group and let L L be a homogeneous sublaplacian on G G . Let E ( λ ) E(\lambda ) denote the spectral resolution of L L on L 2 (
Hulanicki, Andrzej, Jenkins, Joe W.
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Minimal models of nilmanifolds [PDF]
Proceedings of the American Mathematical Society, 1989 In this paper we first determine minimal models of nilmanifolds associated with given rational nilpotent Lie algebras. Then we study some properties of nilmanifolds through their associated Lie algebras and minimal models. In particular, we will see that a minimal model of a nilmanifold is formal if and only if it is a torus, and thus a non-toral ...
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The doubled geometry of nilmanifold reductions
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
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Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms
, 2015 In this paper, we study the periodic and eventually periodic points of affine infra-nilmanifold endomorphisms. On the one hand, we give a sufficient condition for a point of the infra-nilmanifold to be (eventually) periodic.
Deré, Jonas
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Compact nilmanifold extensions of ergodic actions [PDF]
Transactions of the American Mathematical Society, 1976 We study extensions of dymanical systems defined by co-cycles into nilpotent Lie groups.
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