Results 41 to 50 of about 643 (100)
Compact CR-solvmanifolds as Kähler obstructions [PDF]
Mathematische Zeitschrift, 2010 We give a precise characterization for when a compact CR-solvmanifold is CR-embeddable in a complex Kähler manifold. Equivalently this gives a non-Kähler criterion for complex manifolds containing CR-solvmanifolds not satisfying these conditions. This paper is the natural continuation of Oeljeklaus and Richthofer [J Differ Geom 27(3):399-421, 1988] and
Gilligan, Bruce, Oeljeklaus, Karl
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Inhomogeneous deformations of Einstein solvmanifolds
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract For each non‐flat, unimodular Ricci soliton solvmanifold (S0,g0)$(\mathsf {S}_0,g_0)$, we construct a one‐parameter family of complete, expanding, gradient Ricci solitons that admit a cohomogeneity one isometric action by S0$\mathsf {S}_0$. The orbits of this action are hypersurfaces homothetic to (S0,g0)$(\mathsf {S}_0,g_0)$.
Adam Thompson
wiley +1 more source
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
Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds
, 2012 We prove the non-existence of Vaisman metrics on some solvmanifolds with left-invariant complex structures. By this theorem, we show that Oeljeklaus-Toma manifolds does not admit Vaisman metrics.Comment: 12 page.
Kasuya, Hisashi
core +1 more source
Symplectic harmonicity and generalized coeffective cohomologies [PDF]
, 2018 Relations between the symplectically harmonic cohomology and the coeffective cohomology of a symplectic manifold are obtained. This is achieved through a generalization of the latter, which in addition allows us to provide a coeffective version of the ...
Ugarte, Luis, Villacampa, Raquel
core +2 more sources
N=1 SUSY AdS4 vacua in IIB SUGRA on group manifolds [PDF]
, 2013 We study N=1 compactification of IIB supergravity to AdS4. The internal manifold must have SU(2)-structure. By putting some restrictions on the SU(2) torsion classes, we can perform an exhaustive scan of all possible solutions on group manifolds. We show
Solard, Gautier
core +2 more sources
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
core +1 more source
Supersymmetric scale-separated AdS3 orientifold vacua of type IIB
Journal of High Energy PhysicsI 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
doaj +1 more source
, 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.
openaire +2 more sources
Maximal symmetry and unimodular solvmanifolds [PDF]
Pacific Journal of Mathematics, 2019 Recently, it was shown that Einstein solvmanifolds have maximal symmetry in the sense that their isometry groups contain the isometry groups of any other left-invariant metric on the given Lie group. Such a solvable Lie group is necessarily non-unimodular.
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