Results 61 to 70 of about 1,044 (116)
$$G_2$$-structures on flat solvmanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
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SYZ mirror symmetry of solvmanifolds
Annali di Matematica Pura ed Applicata (1923 -)Abstract We present an effective construction of non-Kähler supersymmetric mirror pairs in the sense of Lau, Tseng and Yau (Commun. Math. Phys. 340:145–170, 2015) starting from left-invariant affine structures on Lie groups. Applying this construction we explicitly find SYZ mirror symmetric partners of all known compact 6-dimensional ...
Bedulli, Lucio, Vannini, Alessandro
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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
Bruce Gilligan, Karl Oeljeklaus
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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
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A note on compact solvmanifolds with Kaehler structures [PDF]
Osaka Journal of Mathematics, 2004 A solvmanifold is a compact differentiable manifold M on which a connected solvable Lie group G acts transitively. As the main result, we will see, applying a result of Arapura and Nori on solvable Kaehler groups and some of the author's previous results, that a compact solvmanifold admits a Kaehler structure if and only if it is a finite quotient of a
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Maximal symmetry and unimodular solvmanifolds [PDF]
Pacific Journal of Mathematics, 2019 Recently, it was shown that Einstein solvmanifolds have maximal symmetry in the sense that their isometry groups contain the isometry groups of any other left-invariant metric on the given Lie group. Such a solvable Lie group is necessarily non-unimodular.
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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.
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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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On classification of compact complex solvmanifolds
Journal of Algebra, 2011 AbstractIn this paper, we complete Nakamuraʼs classification of compact complex parallelizable solvmanifolds up to the complex dimension five. We find that the holomorphic symplectic ones are either nilpotent or pseudo-kähler-like, i.e., with a complex solvable Lie group as that of a compact complex solvable pseudo-kähler space in Guan (2010) [Gu1]. We
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