Results 41 to 50 of about 1,529 (146)

Cohomologically Kähler manifolds with no Kähler metrics

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3315-3325, 2003., 2003
We show some examples of compact symplectic solvmanifolds, of dimension greater than four, which are cohomologically Kähler and do not admit Kähler metric since their fundamental groups cannot be the fundamental group of any compact Kähler manifold. Some of the examples that we study were considered by Benson and Gordon (1990).
Marisa Fernández, Vicente Muñoz, José A. Santisteban   +2 more
wiley   +1 more source

Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons [PDF]

, 2013
In this paper we consider connections between Ricci solitons and Einstein metrics on homogeneous spaces. We show that a semi-algebraic Ricci soliton admits an Einstein one-dimensional extension if the soliton derivation can be chosen to be normal.
He, Chenxu, Petersen, Peter, Wylie, William   +2 more
core   +1 more source

Distinguished $$G_2$$-Structures on Solvmanifolds [PDF]

, 2020
Among closed G2-structures there are two very distinguished classes: Laplacian solitons and Extremally Ricci-pinched G2-structures. We study the existence problem and explore possible interplays between these concepts in the context of left-invariant G2-structures on solvable Lie groups.
openaire   +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   +1 more source

Topological T-Duality for Twisted Tori [PDF]

, 2020
We apply the $C^*$-algebraic formalism of topological T-duality due to Mathai and Rosenberg to a broad class of topological spaces that include the torus bundles appearing in string theory compactifications with duality twists, such as nilmanifolds, as ...
P. Aschieri, R. Szabo
semanticscholar   +1 more source

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

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   +1 more source

Global regularity on 3-dimensional solvmanifolds [PDF]

Transactions of the American Mathematical Society, 1992
Let M M be any 3 3 -dimensional (nonabelian) compact solvmanifold. We apply the methods of representation theory to study the convergence of Fourier series of smooth global solutions to first order invariant partial differential equations D f = g Df = g in
Cygan, Jacek M., Richardson, Leonard F.
openaire   +3 more sources

Isometry groups of Riemannian solvmanifolds

Transactions of the American Mathematical Society, 1988
A simply connected solvable Lie group R R together with a left-invariant Riemannian metric g g is called a (simply connected) Riemannian solvmanifold. Two Riemannian solvmanifolds ( R , g ) (R,\,g) and ( R ′
Carolyn S. Gordon, E. Wilson
semanticscholar   +2 more sources

The Classification of Flat Solvmanifolds [PDF]

Transactions of the American Mathematical Society, 1978
This paper contains a complete algebraic characterization of the fundamental groups of flat solvmanifolds. This characterization is in terms of finite integral representations of free abelian groups and the associated cohomology. A classification of compact flat solvmanifolds follows, and a list of all compact flat solvmanifolds of dimensions 3, 4, and
openaire   +2 more sources