Results 11 to 20 of about 1,532 (136)

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.
J. Brezin
semanticscholar   +5 more sources

New supersymmetric vacua on solvmanifolds [PDF]

Journal of High Energy Physics, 2016
We obtain new supersymmetric flux vacua of type II supergravities on four-dimensional Minkowski times six-dimensional solvmanifolds. The orientifold O4, O5, O6, O7, or O8-planes and D-branes are localized. All vacua are in addition not T-dual to a vacuum
Andriot, David
core   +6 more sources

On Low-Dimensional Solvmanifolds [PDF]

Asian Journal of Mathematics, 2009
A nilmanifold resp. solvmanifold is a compact homogeneous space of a connected and simply-connected nilpotent resp. solvable Lie group by a lattice, i.e. a discrete co-compact subgroup.
Christoph Bock
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Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]

, 2013
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Daniele Angella, Hisashi Kasuya
openalex   +4 more sources

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
Sergio Console, Maura Macrì
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Bott–Chern Formality and Massey Products on Strong Kähler with Torsion and Kähler Solvmanifolds [PDF]

Journal of Geometric Analysis
We study the interplay between geometrically-Bott–Chern-formal metrics and SKT metrics. We prove that a 6-dimensional nilmanifold endowed with a invariant complex structure admits an SKT metric if and only if it is geometrically-Bott–Chern-formal.
Tommaso Sferruzza, Adriano Tomassini
semanticscholar   +2 more sources

Modification and the cohomology groups of compact solvmanifolds Ⅱ

Electronic Research Archive
In this article, we refine the modification theorem for a compact solvmanifold given in 2006 and completely solve the problem of finding the cohomology ring on compact solvmanifolds.
Daniel Guan
doaj   +2 more sources

Locally conformally Kähler solvmanifolds: a survey [PDF]

Complex Manifolds, 2019
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results ...
Andrada A., Origlia M.
doaj   +6 more sources

Six‐dimensional complex solvmanifolds with non‐invariant trivializing sections of their canonical bundle [PDF]

Mathematische Nachrichten
It is known that there exist complex solvmanifolds whose canonical bundle is trivialized by a holomorphic section that is not invariant under the action of .
A. Tolcachier
semanticscholar   +2 more sources

A non-Standard Indefinite Einstein Solvmanifold

Proceedings of the International Geometry Center
We describe an example of an indefinite invariant Einstein metric on a solvmanifold which is not standard, and whose restriction on the nilradical is ...
Federico A. Rossi
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