Results 61 to 70 of about 1,532 (136)
Kahler Structures on Compact Solvmanifolds [PDF]
Proceedings of the American Mathematical Society, 1990 In a previous paper, the authors proved that the only compact nilmanifolds Γ ∖ G \Gamma \backslash G which admit Kähler structures are tori. Here we consider a more general class of homogeneous spaces Γ ∖ G \Gamma \backslash G , where G G is a ...
Carolyn S. Gordon, Chal Benson
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Tamed symplectic structures on compact solvmanifolds of completely solvable type [PDF]
, 2015 A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a K\"ahler structure if and only if it is a complex torus.
Fino, Anna, Kasuya, Hisashi
core
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
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A step towards the Alekseevskii Conjecture
, 2016 We provide a reduction in the classification problem for non-compact, homogeneous, Einstein manifolds. Using this work, we verify the (Generalized) Alekseevskii Conjecture for a large class of homogeneous spaces.Comment: 12 pages, proof of main result ...
Jablonski, Michael, Petersen, Peter
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Periodic points on nilmanifolds and solvmanifolds [PDF]
Pacific Journal of Mathematics, 1994 Let \(M\) be a compact manifold and \(f:M \to M\) a self map on \(M\). For any natural number \(n\), the \(n\)-th iterate of \(f\) is the \(n\)-fold composition \(f^ n:M \to M\). The fixed point set of \(f\) is \(\text{fix} (f)=\{x \in M:f(x)=x\}\). We say that \(x \in M\) is a periodic point of \(f\) is \(x\) is a fixed point of some \(f^ n\) and we ...
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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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SYZ mirror symmetry of solvmanifolds
Annali di Matematica Pura ed Applicata (1923 -)Abstract We present an effective construction of non-Kähler supersymmetric mirror pairs in the sense of Lau, Tseng and Yau (Commun. Math. Phys. 340:145–170, 2015) starting from left-invariant affine structures on Lie groups. Applying this construction we explicitly find SYZ mirror symmetric partners of all known compact 6-dimensional ...
Bedulli, Lucio, Vannini, Alessandro
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$$G_2$$-structures on flat solvmanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
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Special Hermitian metrics on compact solvmanifolds
, 2015 We review some constructions and properties of complex manifolds admitting pluriclosed and balanced metrics. We prove that for a 6-dimensional solvmanifold endowed with an invariant complex structure J having holomorphically trivial canonical bundle the ...
Alexandrov +47 more
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, 2003 Compact K hler solvmanifolds are classified up to biholomorphism. A proof of a conjecture Benson and Gordon, that completely solvable compact K hler solvmanifolds are tori is deduced from this. The main ingredient in the proof is a restriction theorem for polycyclic K hler groups proved by Nori and the author.
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