Results 51 to 60 of about 1,532 (136)
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 +2 more
core +1 more source
$G_2$-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.
M. Fernandez +2 more
openaire +3 more sources
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
SKT and tamed symplectic structures on solvmanifolds [PDF]
Tohoku Mathematical Journal, 2015 Final version of the paper "Tamed complex structures on solvmanifolds".
FINO, Anna Maria +2 more
openaire +5 more sources
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
Jacek M. Cygan, Leonard F. Richardson
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On Ricci negative solvmanifolds and their nilradicals [PDF]
Mathematische Nachrichten, 2019 AbstractIn the homogeneous case, the only curvature behavior which is still far from being understood is Ricci negative. In this paper, we study which nilpotent Lie algebras admit a Ricci negative solvable extension. Different unexpected behaviors were found. On the other hand, given a nilpotent Lie algebra, we consider the space of all the derivations
Deré, Jonas, Lauret, Jorge Ruben
openaire +4 more sources
Fejer theorems on compact solvmanifolds [PDF]
Illinois Journal of Mathematics, 1994 Jeder \(L^2\)-Raum auf einer kompakten Solvmannigfaltigkeit \(G/ \Gamma\) zerlegt sich eindeutig in eine abzählbare orthogonale Summe primärer Komponenten, \(L^2 (G/ \Gamma) = \bigoplus^\infty_{n=1} {\mathfrak H}_n\) für eine gewählte Numerierung. In früheren Arbeiten, z.B. von J. Brezin und L.
openaire +3 more sources
Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical
Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley +1 more source
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.
Angella, Daniele, Kasuya, Hisashi
openaire +4 more sources
Ricci soliton solvmanifolds [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011 18 pages, to appear in Crelle's ...
openaire +3 more sources