Results 71 to 80 of about 444 (112)
A note on compact solvmanifolds with Kaehler structures
Osaka Journal of Mathematics, 2004 A solvmanifold is a compact differentiable manifold M on which a connected solvable Lie group G acts transitively. As the main result, we will see, applying a result of Arapura and Nori on solvable Kaehler groups and some of the author's previous results, that a compact solvmanifold admits a Kaehler structure if and only if it is a finite quotient of a
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Euclidean fiberings of solvmanifolds [PDF]
Pacific Journal of Mathematics, 1965 openaire +2 more sources
1-LEFSCHETZ CONTACT SOLVMANIFOLDS
We study the contact 1-Lefschetz condition on compact contact solvmanifolds with an invariant contact form, as introduced by B. Cappelletti-Montano, A. De Nicola and I. Yudin. We prove that the 1-Lefschetz condition on Lie algebras is preserved via 1-dimensional central extensions by a symplectic cocycle, thereby establishing that a unimodular ...
Andrada, Adrián, Garrone, Agustín
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On compact symplectic and Kählerian solvmanifolds which are not completely solvable [PDF]
, 1997 We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7].
Tralle, Aleksy
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Reidemeister spectra for solvmanifolds in low dimensions
, 2019 The Reidemeister number of an endomorphism of a group is the number of twisted conjugacy classes determined by that endomorphism. The collection of all Reidemeister numbers of all automorphisms of a group $G$ is called the Reidemeister spectrum of $G ...
Tertooy, Sam +2 more
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Einstein solvmanifolds and nilsolitons
, 2008 The purpose of the present expository paper is to give an account of the recent progress and present status of the classification of solvable Lie groups admitting an Einstein left invariant Riemannian metric, the only known examples so far of noncompact Einstein homogeneous manifolds.
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∂∂ ̄-lemma and p-Kähler structures on families of solvmanifolds
We provide families of compact (n+1)-dimensional complex non Kähler manifolds satisfying the ∂∂ ̄-Lemma, with holomorphically trivial canonical bundle, carrying a balanced metric and with no p-Kähler structures.
Cattaneo A., Tomassini A.
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Rational models of solvmanifolds with Kahlerian structures
, 1995 We investigate the existence of symplectic non-Kahlerian structures on compact solvmanifolds and prove some results which give strong necessary conditions for the existence of Kahlerian structures on them in terms of rational homotopy theory. Our results
Tralle, A. +1 more
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Polynomial Poisson structures on affine solvmanifolds
, 2011 17 pagesInternational audienceCompact affine solvmanifoldsA $n$-dimensional Lie group $G$ equipped with a left invariant symplectic form $\om^+$ is called a symplectic Lie group. It is well-known that $\om^+$ induces a left invariant affine structure on $
Boucetta, Mohamed, Medina, Alberto
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