Results 31 to 40 of about 89 (80)

Supersymmetric scale-separated AdS3 orientifold vacua of type IIB

Journal of High Energy Physics
I construct supersymmetric AdS3 vacua of type IIB string theory that exhibit parametric scale separation in the controlled regime. These solutions arise from compactifications on seven-dimensional manifolds equipped with co-closed G 2-structures, in the ...
Vincent Van Hemelryck
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On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds

Complex Manifolds
We can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
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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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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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On the structure of complex solvmanifolds [PDF]

Journal of Differential Geometry, 1988
A connected complex space X is called a solvmanifold if there is a connected complex solvable Lie group G which acts holomorphically and transitively on it. The aim of the paper is to study two classes of solvmanifolds: i) X is Kähler, ii) X is separable by analytic hypersurfaces.
Oeljeklaus, Karl, Richthofer, Wolfgang
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Function theory on metabelian solvmanifold

Journal of Functional Analysis, 1972
AbstractThe Laplace operators for metabelian solvmanifolds are used to describe certain spaces of C∞ functions on metabelian solvmanifolds of interest in harmonic analysis.
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The classification of flat solvmanifolds [PDF]

Transactions of the American Mathematical Society, 1978
This paper contains a complete algebraic characterization of the fundamental groups of flat solvmanifolds. This characterization is in terms of finite integral representations of free abelian groups and the associated cohomology. A classification of compact flat solvmanifolds follows, and a list of all compact flat solvmanifolds of
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The Frölicher Spectral Sequence of Certain Solvmanifolds [PDF]

The Journal of Geometric Analysis, 2013
To appear in J.
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Flows on solvmanifolds [PDF]

Bulletin of the American Mathematical Society, 1963
Auslander, L., Green, L.
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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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