Results 11 to 20 of about 163 (116)
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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A six dimensional compact symplectic solvmanifold without Kähler structures [PDF]
, 1996 International audienceThe purpose of this paper is to construct a compact symplectic (non-nilpotent) solvmanifold $M^{6} = \Gamma / G$ of dimension $6$ which does not admit Kähler structures.
Saralegi-Aranguren, Martintxo +2 more
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Classification of 6-dimensional splittable flat solvmanifolds [PDF]
, 2022 A flat solvmanifold is a compact quotient $\Gamma\backslash G$ where $G$ is a simply-connected solvable Lie group endowed with a flat left invariant metric and $\Gamma$ is a lattice of $G$.
Tolcachier, Alejandro
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On the rationality of the Nielsen zeta function for maps on solvmanifolds [PDF]
, 2022 In [3,9], the Nielsen zeta function $N_f(z)$ has been shown to be rational if $f$ is a self-map of an infra-solvmanifold of type (R). It is, however, still unknown whether $N_f(z)$ is rational for self-maps on solvmanifolds. In this paper, we prove that $
Dekimpe, Karel, Bussche, Iris Van den
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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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Inhomogeneous deformations of Einstein solvmanifolds [PDF]
, 2023 For each non-flat, unimodular Ricci soliton solvmanifold $(\mathsf{S}_0,g_0)$, we construct a one-parameter family of complete, expanding, gradient Ricci solitons that admit a cohomogeneity one isometric action by $\mathsf{S}_0$.
Thompson, Adam
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$$G_2$$-structures on flat solvmanifolds
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
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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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Hypercomplex Almost Abelian Solvmanifolds
The Journal of Geometric Analysis, 2023 Minor ...
Adrián Andrada, María Laura Barberis
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Examples of solvmanifolds without LCK structures
Complex Manifolds, 2018 The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
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