Results 21 to 30 of about 168 (112)
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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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 +1 more
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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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A structure theorem of compact complex parallelizable pseudo-Kahler solvmanifolds [PDF]
, 2006 In this paper, we prove that the Mostow fibration of a compact complex parallelizable pseudo-K¨ahler solvmanifold is a complex torus bundle over a complex ...
Yamada, Takumi
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Pseudo-Riemannian Sasaki solvmanifolds
, 2022 We study a class of left-invariant pseudo-Riemannian Sasaki metrics on solvable Lie groups, which can be characterized by the property that the zero level set of the moment map relative to the action of some one-parameter subgroup $\{\exp tX\}$ is a normal nilpotent subgroup commuting with $\{\exp tX\}$, and $X$ is not lightlike.
Conti, D, Rossi, FA, Segnan Dalmasso, R
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Solvmanifolds and Generalized Kähler Structures [PDF]
, 1970 We review generalized complex geometry in relation with solvmanifolds and we describe the construction in [17] of a generalized Kähler structure on a 6-dimensional solvmanifold. The compact manifold is the total space of a 𝕋2-bundle over an Inoue
Tomassini, Adriano +2 more
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Compact solvmanifolds with calibrated and cocalibrated G2-structures [PDF]
, 2020 We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed and coclosed G2-structures starting from 6-dimensional solvable Lie algebras with symplectic half-flat and half-flat SU(3)-structures, respectively.
Manero García, Víctor Manuel
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