Results 51 to 60 of about 1,005 (125)
Examples of Compact Lefschetz Solvmanifolds
Tokyo Journal of Mathematics, 2002 A symplectic manifold \((M^{2m},\omega)\) is called a Lefschetz manifold if the mapping \(\wedge\omega^{m-1}: H^1_{DR}\to H^{2m-1}_{DR}\) on \(M\) is an isomorphism. By a solvmanifold is meant a homogeneous space \(G/\Gamma\) where \(G\) is a simply connected solvable Lie group and \(\Gamma\) is a lattice.
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Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold
, 2019 We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant $G_2$-structures on a Lie group, finding an explicit soliton on a particular almost Abelian $7$-manifold.Comment: Minor ...
Earp, Henrique N. Sá +1 more
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On the d-invariant of compact solvmanifolds.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1985 Let G be a connected real Lie group and \(\Gamma\) a closed subgroup of G. Then \(\Gamma\) is called a lattice if G/\(\Gamma\) is compact. Every basis of the Lie algebra \({\mathfrak g}\) of G determines a parallelization of G/\(\Gamma\) and hence by the Thom-Pontryagin construction an element [G/\(\Gamma\) ], the stable homotopy of spheres. Earlier by
Singhof, W., Deninger, Ch.
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Global regularity on 3-dimensional solvmanifolds [PDF]
Transactions of the American Mathematical Society, 1992 Let M M be any 3 3 -dimensional (nonabelian) compact solvmanifold. We apply the methods of representation theory to study the convergence of Fourier series of smooth global solutions to first order invariant partial differential equations D f = g Df = g in
Cygan, Jacek M., Richardson, Leonard F.
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Remarks on Some Compact Symplectic Solvmanifolds [PDF]
, 2023 Qiang Tan +1 more
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Supergravity solutions with constant scalar invariants
, 2008 We study a class of constant scalar invariant (CSI) spacetimes, which belong to the higher-dimensional Kundt class, that are solutions of supergravity. We review the known CSI supergravity solutions in this class and we explicitly present a number of new
Coley, A., Fuster, A., Hervik, S.
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Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
, 2012 We construct lattices on six dimensional not completely solvable almost abelian Lie groups, for which the Mostow condition does not hold. For the corresponding compact quotients, we compute the de Rham cohomology (which does not agree in general with the
Console, Sergio, Macrì, Maura
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Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds [PDF]
, 2023 Diego Conti +2 more
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On the equivalence of several definitions of compact infra-solvmanifolds [PDF]
, 2013 Shintarô Kuroki, Li Yu
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Geometrical formality of solvmanifolds and solvable Lie type geometries [PDF]
, 2012 We show that for a Lie group $G=\R^{n}\ltimes_{\phi} \R^{m}$ with a semisimple action $\phi$ which has a cocompact discrete subgroup $\Gamma$, the solvmanifold $G/\Gamma$ admits a canonical invariant formal (i.e.
Kasuya, Hisashi
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