Results 121 to 130 of about 1,532 (136)

On the Canonical Bundle of Complex Solvmanifolds and Applications to Hypercomplex Geometry

Transformation groups, 2023
We study complex solvmanifolds $\Gamma\backslash G$ with holomorphically trivial canonical bundle. We show that the trivializing section of this bundle can be either invariant or non-invariant by the action of $G$.
A. Andrada, A. Tolcachier
semanticscholar   +1 more source

On the rationality of the Nielsen zeta function for maps on solvmanifolds

Journal of Fixed Point Theory and Applications, 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 $
K. Dekimpe, I. V. Bussche
semanticscholar   +1 more source

Classification of 6-dimensional splittable flat solvmanifolds

Manuscripta mathematica, 2021
A flat solvmanifold is a compact quotient $$\Gamma \backslash G$$ Γ \ G where G is a simply-connected solvable Lie group endowed with a flat left invariant metric and $$\Gamma $$ Γ is a lattice of G . Any such Lie group can be written as $$G={\mathbb {R}}
A. Tolcachier
semanticscholar   +1 more source

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.
Andreatta, Marco, L. Alessandrini
openaire   +4 more sources

FLOWS ON COMPACT SOLVMANIFOLDS

Mathematics of the USSR-Sbornik, 1985
Translation from Mat. Sb., Nov. Ser. 123(165), No.4, 549-558 (Russian) (1984; Zbl 0545.28013).
openaire   +4 more sources

Special non-Kähler metrics on Endo–Pajitnov manifolds

Annali di Matematica Pura ed Applicata
We investigate the metric and cohomological properties of higher dimensional analogues of Inoue surfaces, that were introduced by Endo and Pajitnov. We provide a solvmanifold structure and show that in the diagonalizable case, they are formal and have ...
Cristian Ciulică, A. Otiman, Miron Stanciu   +2 more
semanticscholar   +1 more source

INFRA-SOLVMANIFOLDS OF TYPE (R)

The Quarterly Journal of Mathematics, 1995
Für eine einfach zusammenhängende auflösbare Liesche Gruppe \(G\) wird das semidirekte Produkt \(\text{Aff} (G):=\Aut (G) \ltimes G\) als affine Gruppe von \(G\) bezeichnet. Ist nun \(\Gamma\) ein cokompaktes Gitter in \(G\) und \(\pi\leq\text{Aff}(G)\) eine torsionsfreie endliche Erweiterung von \(\Gamma\), \(\Gamma \vartriangleleft \pi\), so nennt ...
openaire   +3 more sources

Determining the translational part of the fundamental group of an infra-solvmanifold of type (R)

Mathematical Proceedings of the Cambridge Philosophical Society, 1997
K. Dekimpe
semanticscholar   +1 more source

A six-dimensional compact symplectic solvmanifold without Kähler structures

, 1996
M. Fernández, M. León, Martín Saralegui   +2 more
semanticscholar   +1 more source

A Pseudo-Kähler Structure on a Nontoral Compact Complex Parallelizable Solvmanifold

, 2005
Takumi Yamada
semanticscholar   +1 more source