Results 11 to 20 of about 1,529 (146)

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
semanticscholar   +4 more sources

New supersymmetric vacua on solvmanifolds [PDF]

, 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   +4 more sources

Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds [PDF]

, 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   +2 more sources

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
doaj   +2 more sources

Vaisman Solvmanifolds as Finite Quotients of Kodaira-Thurston Nilmanifolds [PDF]

Proceedings of the American Mathematical Society
We prove that every Vaisman solvmanifold is a finite quotient of a Kodaira-Thurston manifold. More generally, we show that every aspherical compact Vaisman manifold with strongly polycyclic fundamental group is a finite quotient of a Kodaira-Thurston ...
Lucas H. S. Gomes
openalex   +2 more sources

Einstein solvmanifolds are standard [PDF]

Annals of Mathematics, 2007
We study Einstein manifolds admitting a transitive solvable Lie group of isometries (solvmanifolds). It is conjectured that these exhaust the class of noncompact homogeneous Einstein manifolds. J.
J. Lauret
semanticscholar   +4 more sources

$G_2$-structures on Einstein solvmanifolds [PDF]

Asian Journal of Mathematics, 2015
We study the $G_2$ analogue of the Goldberg conjecture on non-compact solvmanifolds. In contrast to the almost-K hler case we prove that a 7-dimensional solvmanifold cannot admit any left-invariant calibrated $G_2$-structure $ $ such that the induced metric $g_ $ is Einstein, unless $g_ $ is flat.
Marisa Fernández, Anna Fino, Víctor Manero   +2 more
openalex   +5 more sources

$G_2$-structures on flat solvmanifolds [PDF]

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022
19 pages, 2 ...
Alejandro Tolcachier
openalex   +3 more sources

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   +3 more sources

A six-dimensional compact symplectic solvmanifold without Kähler structures

, 1996
Marisa Fernández, Manuel de León, Martín Saralegui   +2 more
openalex   +3 more sources