Results 41 to 50 of about 85 (77)
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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Einstein solvmanifolds and graphs
Comptes Rendus. Mathématique, 2006 In this Note, we obtain Einstein solvmanifolds using Abelian extension of two-step nilpotent Lie algebras associated with graphs.
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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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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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Uniform distribution in solvmanifolds
Advances in Mathematics, 1971 Auslander, L., Brezin, J.
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VAISMAN STRUCTURES ON LCK SOLVMANIFOLDS
Tsukuba Journal of Mathematics, 2023An LCK manifold is a Hermitian manifold \((M,g,J)\) such that the fundamental \(2\)-form \(\Omega\), defined by \(\Omega(X,Y)=g(X,JY)\), satisfies the condition \(d\Omega= \omega\wedge \Omega\) for a closed 1-form \(\omega\). An LCK manifold is said to be Vaisman if \(\omega\) is parallel.
Hiroshi Sawai
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On complex solvmanifolds and affine structures
Annali di Matematica Pura ed Applicata, 1985There is a conjecture of \textit{A. Silva} [Rend. Semin. Mat., Torino 1983, Special Issue, 172-192 (1984)] that for the class of compact complex manifolds being affine is equivalent to being a solvmanifold. In this paper the authors show the existence of affine structures on solvmanifolds which satisfy their so-called K-condition.
ALESSANDRINI, Lucia, M. Andreatta
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