Results 71 to 80 of about 146 (116)
Solvmanifolds and noncommutative tori with real multiplication [PDF]
, 2007 We prove that the Shimizu L-function of a real quadratic field is obtained from a (Lorentzian) spectral triple on a noncommutative torus with real multiplication, as an adiabatic limit of the Dirac operator on a 3-dimensional solvmanifold.
Marcolli, Matilde
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Ricci soliton solvmanifolds [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011 18 pages, to appear in Crelle's ...
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Cohomological properties of unimodular six dimensional solvable Lie algebras
, 2011 In the present paper we study six dimensional solvable Lie algebras with special emphasis on those admitting a symplectic structure. We list all the symplectic structures that they admit and we compute their Betti numbers finding some properties about ...
Macrì, Maura, Macri', Maura
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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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Bott–Chern Formality and Massey Products on Strong Kähler with Torsion and Kähler Solvmanifolds [PDF]
We study the interplay between geometrically-Bott–Chern-formal metrics and SKT metrics. We prove that a 6-dimensional nilmanifold endowed with a invariant complex structure admits an SKT metric if and only if it is geometrically-Bott–Chern-formal.
Sferruzza T., Tomassini 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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Bulletin of the American Mathematical Society, 1963 Auslander, L., Green, L.
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Non-Kaehler solvmanifolds with generalized Kaehler structure
, 2009 We construct a compact 6-dimensional solvmanifold endowed with a non-trivial invariant generalized Kähler structure and which does not admit any Kähler metric.
TOMASSINI, Adriano, A. Fino
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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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Filiform nilsolitons of dimension 8
, 2011 A Riemannian manifold (M, g) is said to be Einstein if its Ricci tensor satisfies ric (g) = cg, for some c is an element of R. In the homogeneous case, a problem that is still open is the so-called Alekseevskii conjecture.
Romina M. Arroyo, Arroyo, Romina M.
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