Results 11 to 20 of about 444 (112)
On low-dimensional solvmanifolds [PDF]
Asian Journal of Mathematics, 2016 105 pages, 36 tables; ad v4: References to other papers ...
Bock, Christoph
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Kahler Structures on Compact Solvmanifolds [PDF]
Proceedings of the American Mathematical Society, 1990 In a previous paper, the authors proved that the only compact nilmanifolds Γ
Chal Benson, Carolyn S. Gordon
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$$G_2$$-structures on flat solvmanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
Tolcachier, Alejandro
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Indefinite Nilsolitons and Einstein Solvmanifolds [PDF]
The Journal of Geometric Analysis, 2022 v2: Presentation improved, bibliography expanded and updated, two missing entries added in Proposition 2.7 and Table 1, Examples 4.11 and 4.19 corrected.
Conti D., Rossi F. A.
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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
Alexander Morgan
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On Formality and Solvmanifolds [PDF]
, 2008 Topology of symplectic manifolds is nowadays a subject of intensive development. The simplest examples of such manifolds are Kähler manifolds and an important property of the latter is their formality. Thus, a possible way of constructing symplectic manifolds with no Kähler structure is to find such ones which are not formal. M. Fernández und V.
Bock, Christoph
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On complex solvmanifolds and affine structures
Annali di Matematica Pura ed Applicata, 1985 There 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
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Compact CR-solvmanifolds as Kähler obstructions [PDF]
Mathematische Zeitschrift, 2010 We give a precise characterization for when a compact CR-solvmanifold is CR-embeddable in a complex Kähler manifold. Equivalently this gives a non-Kähler criterion for complex manifolds containing CR-solvmanifolds not satisfying these conditions. This paper is the natural continuation of Oeljeklaus and Richthofer [J Differ Geom 27(3):399-421, 1988] and
Gilligan, Bruce, Oeljeklaus, Karl
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Pseudo-Riemannian Sasaki solvmanifolds [PDF]
, 2023 We study a class of left-invariant pseudo-Riemannian Sasaki metrics on solvable Lie groups, which can be characterized by the prop-erty that the zero level set of the moment map relative to the action of some one-parameter subgroup {exp tX} is a normal ...
Rossi F. A., Conti D., Dalmasso R. S.
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$G_2$-structures on Einstein solvmanifolds [PDF]
Asian Journal of Mathematics, 2015 21 pages.
M. Fernandez +2 more
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