Results 61 to 70 of about 1,208 (130)
Tamed symplectic structures on compact solvmanifolds of completely solvable type [PDF]
, 2015 A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a K\"ahler structure if and only if it is a complex torus.
Fino, Anna, Kasuya, Hisashi
core
$$G_2$$-structures on flat solvmanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
openaire +2 more sources
Small Covers, infra-solvmanifolds and curvature
, 2018 It is shown that a small cover (resp. real moment-angle manifold) over a simple polytope is an infra-solvmanifold if and only if it is diffeomorphic to a real Bott manifold (resp. flat torus). Moreover, we obtain several equivalent conditions for a small
Kuroki, Shintarô +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
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A step towards the Alekseevskii Conjecture
, 2016 We provide a reduction in the classification problem for non-compact, homogeneous, Einstein manifolds. Using this work, we verify the (Generalized) Alekseevskii Conjecture for a large class of homogeneous spaces.Comment: 12 pages, proof of main result ...
Jablonski, Michael, Petersen, Peter
core +1 more source
Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds [PDF]
arXiv, 2007 In this paper, we study the solvmanifolds constructed from any parabolic subalgebras of any semisimple Lie algebras. These solvmanifolds are naturally homogeneous submanifolds of symmetric spaces of noncompact type. We show that the Ricci curvatures of our solvmanifolds coincide with the restrictions of the Ricci curvatures of the ambient symmetric ...
arxiv
New examples of non-symmetric Einstein solvmanifolds of negative Ricci curvature [PDF]
arXiv, 2013 We obtain new examples of non-symmetric Einstein solvmanifolds by combining two techniques. In \cite{T2}, H. Tamaru constructs new {\em attached} solvmanifolds, which are submanifolds of the solvmanifolds corresponding to noncompact symmetric spaces, endowed with a natural metric.
arxiv
Einstein solvmanifolds with free nilradical [PDF]
Annals of Global Analysis and Geometry, 2007 14 pages, changes to introduction, one reference added, small changes to the text and to the ...
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Symplectic Bott–Chern cohomology of solvmanifolds [PDF]
Journal of Symplectic Geometry, 2019 (Table 3 has been corrected.)
ANGELLA, DANIELE, Kasuya, Hisashi
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Homogeneous CR-solvmanifolds as Kahler obstructions [PDF]
arXiv, 2009 We give a precise characterization when a compact homogeneous CR-solvmanifold is CR-embeddable in a Kahler manifold. Equivalently this gives a non-Kahler criterion for complex manifolds containing CR-solvmanifolds not satisfying these conditions. This paper is the natural continuation of [OR] and [GOR].
arxiv