Results 1 to 10 of about 1,208 (130)
Einstein solvmanifolds are standard [PDF]
arXiv, 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. Heber has showed that under certain simple algebraic condition called standard (i.e.
Jorge Lauret
arxiv +7 more sources
New supersymmetric vacua on solvmanifolds [PDF]
Journal of High Energy Physics, 2015 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 on the torus.
Andriot, David
arxiv +8 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 +8 more sources
Complex and Kaehler structures on compact solvmanifolds [PDF]
Proceedings of the conference on symplectic topology, Stare
Jablonki (2004), J. Symplectic Geom. Vol. 3 (2005), 749-767, 2008 We discuss our recent results on the existence and classification problem of complex and Kaehler structures on compact solvmanifolds. In particular, we determine in this paper all the complex surfaces which are diffeomorphic to compact solvmanifolds (and compact homogeneous manifolds in general).
Keizo Hasegawa
arxiv +3 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
Holonomy groups of compact flat solvmanifolds [PDF]
arXiv, 2019 This article is concerned with the study of the holonomy group of flat solvmanifolds. It is known that the holonomy group of a flat solvmanifold is abelian; we give an elementary proof of this fact and moreover we prove that any finite abelian group is the holonomy group of a flat solvmanifold.
Alejandro Tolcachier
arxiv +3 more sources
Density of the homotopy minimal periods of maps on infra-solvmanifolds [PDF]
arXiv, 2014 We study the homotopical minimal periods for maps on infra-solvmanifolds of type (R) using the density of the homotopical minimal period set in the natural numbers. This extends the result of [10] from flat manifolds to infra-solvmanifolds of type (R). Applying our main result we will list all possible maps on infra-solvmanifolds up to dimension three ...
Jong Bum Lee, Xuezhi Zhao
arxiv +3 more sources
Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]
, 2017 We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Angella, Daniele, Kasuya, Hisashi
core +3 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
Console, Sergio, Macrì, Maura
core +3 more sources
Explicit Soliton for the Laplacian Co-Flow on a Solvmanifold
, 2019 We apply the general Ansatz in geometric flows on homogeneous spaces proposed by Jorge Lauret for the Laplacian co-flow of invariant $G_2$-structures on a Lie group, finding an explicit soliton on a particular almost Abelian $7$-manifold.Comment: Minor ...
Earp, Henrique N. Sá +1 more
core +2 more sources