Results 61 to 70 of about 1,529 (146)
Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]
, 2017 We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Angella, Daniele, Kasuya, Hisashi
core
Symplectic Bott–Chern cohomology of solvmanifolds [PDF]
Journal of Symplectic Geometry, 2019 (Table 3 has been corrected.)
ANGELLA, DANIELE, Kasuya, Hisashi
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Minimal models, formality and hard Lefschetz properties of solvmanifolds with local systems [PDF]
, 2010 For a simply connected solvable Lie group G with a cocompact discrete subgroup {\Gamma}, we consider the space of differential forms on the solvmanifold G/{\Gamma} with values in certain flat bundle so that this space has a structure of a differential ...
H. Kasuya
semanticscholar +1 more source
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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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.
core +1 more source
SKT and tamed symplectic structures on solvmanifolds [PDF]
Tohoku Mathematical Journal, 2015 Final version of the paper "Tamed complex structures on solvmanifolds".
FINO, Anna Maria +2 more
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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
core
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
core
Remarks on Some Compact Symplectic Solvmanifolds [PDF]
, 2023 Qiang Tan +1 more
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Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds [PDF]
, 2023 Diego Conti +2 more
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