Results 21 to 30 of about 444 (112)
Hypercomplex Almost Abelian Solvmanifolds
The Journal of Geometric Analysis, 2023 Minor ...
Adrián Andrada, María Laura Barberis
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The mean curvature flow on solvmanifolds [PDF]
, 2023 This work is a survey of the most relevant background material to motivate and understand the construction and classification of translating solutions to mean curvature flow on a family of solvmanifolds.
Perales, Raquel +3 more
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On classification of compact complex solvmanifolds [PDF]
, 2011 In 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 ...
Daniel Guan, Guan, Daniel
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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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Chern‐Simons forms of pseudo‐Riemannian homogeneity on the oscillator group
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 3007-3014, 2003., 2003 We consider forms of Chern‐Simons type associated to homogeneous pseudo‐Riemannian structures. The corresponding secondary classes are a measure of the lack of a homogeneous pseudo‐Riemannian space to be locally symmetric. In the present paper, we compute these forms for the oscillator group and the corresponding secondary classes of the compact ...
P. M. Gadea, J. A. Oubiña
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Cohomologically Kähler manifolds with no Kähler metrics
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3315-3325, 2003., 2003 We show some examples of compact symplectic solvmanifolds, of dimension greater than four, which are cohomologically Kähler and do not admit Kähler metric since their fundamental groups cannot be the fundamental group of any compact Kähler manifold. Some of the examples that we study were considered by Benson and Gordon (1990).
Marisa Fernández +2 more
wiley +1 more source
Distinguished $$G_2$$-Structures on Solvmanifolds [PDF]
, 2020 Among closed G2-structures there are two very distinguished classes: Laplacian solitons and Extremally Ricci-pinched G2-structures. We study the existence problem and explore possible interplays between these concepts in the context of left-invariant G2-structures on solvable Lie groups.
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Remarks on Some Compact Symplectic Solvmanifolds
, 2023 We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients M = ΓG of a simply-connected solvable Lie group G by a lattice Γ, admitting a symplectic ...
Tan Q., Tomassini A.
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Tessellations of solvmanifolds [PDF]
Transactions of the American Mathematical Society, 1998 Let A A be a closed subgroup of a connected, solvable Lie group
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The Anosov theorem for exponential solvmanifolds [PDF]
Pacific Journal of Mathematics, 1995 The authors exhibit a class \({\mathcal N} {\mathcal R}\) of compact solvmanifolds such that for any \(S \in {\mathcal N} {\mathcal R}\) and any selfmap \(f : S \to S\) the Nielsen number \(N(f)\) equals the absolute value \(|L(f) |\) of the Lefschetz number.
Keppelmann, Edward C. +1 more
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