Results 91 to 100 of about 168 (112)

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

Transformation Groups
We study complex solvmanifolds $Γ\backslash G$ 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 $G$.
Adrian Marcelo Andrada, Alejandro Tolcachier   +1 more
exaly   +2 more sources

Characteristic Classes of Compact Solvmanifolds

The Annals of Mathematics, 1962
A solvmanifold (nilmanifold) is the homogeneous space of a connected solvable (nilpotent) Lie group. A theorem of A. I. Malcev [3] states that a nilmanifold can always be expressed as the quotient of a nilpotent Lie group by a discrete subgroup. From this it follows easily that nilmanifolds are parallelizable.
Auslander, Louis, Szczarba, R. H.
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The Frölicher Spectral Sequence of Certain Solvmanifolds [PDF]

Journal of Geometric Analysis, 2013
To appear in J.
exaly   +3 more sources

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 ...
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Curvatures on Vaisman solvmanifolds

Kodai Mathematical Journal
A locally conformal Kähler manifold \((M^{2n}, g, J)\) is called a Vaisman manifold if its Lee form is parallel with respect to the Levi-Civita connection \(\nabla \) of the metric \(g\). Denote \(H\) the \((2n+1)\)-dimensional Heisenberg Lie group and \(\Gamma \) a lattice in \(H\). A Kodaira-Thurston manifold is a nilmanifold \(S^1 \times \Gamma /H\).
Hiroshi Sawai
exaly   +3 more sources

On Formality and Solvmanifolds [PDF]

, 2008
Topology of symplectic manifolds is nowadays a subject of intensive development. The simplest examples of such manifolds are Kähler manifolds and an important property of the latter is their formality. Thus, a possible way of constructing symplectic manifolds with no Kähler structure is to find such ones which are not formal. M. Fernández und V.
openaire  

Model solvmanifolds for Lefschetz and Nielsen theories

Quaestiones Mathematicae, 2002
In this paper we construct a class of solvmanifolds and certain (diagonal type) self maps on them. These solvmanifolds and their maps serve firstly as rich source of examples. Secondly they serve as models for Nielsen theory in the sense that any map f : S → S of an arbitrary compact solvmanifold S, has the same Lefschetz and Nielsen theory ...
Heath, Philip R, Keppelmann, Edward C
openaire   +2 more sources

Presentations of Solvmanifolds

American Journal of Mathematics, 1972
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Splitting Theorems and the Structure of Solvmanifolds

The Annals of Mathematics, 1970
Auslander, Louis, Tolimieri, Richard
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Solvmanifolds

1997
Aleksy Tralle, John Oprea
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