Results 41 to 50 of about 89 (80)
Einstein solvmanifolds and graphs
Comptes Rendus. Mathématique, 2006 In this Note, we obtain Einstein solvmanifolds using Abelian extension of two-step nilpotent Lie algebras associated with graphs.
openaire +2 more sources
Euclidean fiberings of solvmanifolds [PDF]
Pacific Journal of Mathematics, 1965 openaire +2 more sources
1-LEFSCHETZ CONTACT SOLVMANIFOLDS
We study the contact 1-Lefschetz condition on compact contact solvmanifolds with an invariant contact form, as introduced by B. Cappelletti-Montano, A. De Nicola and I. Yudin. We prove that the 1-Lefschetz condition on Lie algebras is preserved via 1-dimensional central extensions by a symplectic cocycle, thereby establishing that a unimodular ...
Andrada, Adrián, Garrone, Agustín
openaire +2 more sources
Einstein solvmanifolds and nilsolitons
, 2008 The purpose of the present expository paper is to give an account of the recent progress and present status of the classification of solvable Lie groups admitting an Einstein left invariant Riemannian metric, the only known examples so far of noncompact Einstein homogeneous manifolds.
openaire +2 more sources
Bott–Chern cohomology of solvmanifolds [PDF]
Annals of Global Analysis and Geometry, 2017 We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology. We are especially aimed at studying the Bott-Chern cohomology of special classes of solvmanifolds, namely, complex parallelizable solvmanifolds and solvmanifolds of splitting type.
Daniele Angella +2 more
exaly +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
On complex solvmanifolds and affine structures
Annali di Matematica Pura ed Applicata, 1985There is a conjecture of \textit{A. Silva} [Rend. Semin. Mat., Torino 1983, Special Issue, 172-192 (1984)] that for the class of compact complex manifolds being affine is equivalent to being a solvmanifold. In this paper the authors show the existence of affine structures on solvmanifolds which satisfy their so-called K-condition.
ALESSANDRINI, Lucia, M. Andreatta
openaire +4 more sources
The mean curvature flow on solvmanifolds
Boletin De La Sociedad Matematica MexicanaThis work is a survey of the most relevant background material to motivate and understand the construction and classification of translating solutions to mean curvature flow on a family of solvmanifolds. We introduce the mean curvature flow and some known results in the field.
Raquel Perales
exaly +5 more sources
FLOWS ON COMPACT SOLVMANIFOLDS
Mathematics of the USSR-Sbornik, 1985Translation from Mat. Sb., Nov. Ser. 123(165), No.4, 549-558 (Russian) (1984; Zbl 0545.28013).
openaire +3 more sources