Results 51 to 60 of about 168 (112)
Isometry groups of Riemannian solvmanifolds
, 1988 A simply connected solvable Lie group R R together with a left-invariant Riemannian metric g g is called a (simply connected) Riemannian solvmanifold. Two Riemannian solvmanifolds ( R ,
Carolyn S. Gordon, Edward N. Wilson
core +1 more source
Examples of Compact Lefschetz Solvmanifolds
Tokyo Journal of Mathematics, 2002 A symplectic manifold \((M^{2m},\omega)\) is called a Lefschetz manifold if the mapping \(\wedge\omega^{m-1}: H^1_{DR}\to H^{2m-1}_{DR}\) on \(M\) is an isomorphism. By a solvmanifold is meant a homogeneous space \(G/\Gamma\) where \(G\) is a simply connected solvable Lie group and \(\Gamma\) is a lattice.
openaire +2 more sources
Nielsen numbers of periodic maps on solvmanifolds
, 1992 Let f : M → M f:M \to M be a self-map of a solvmanifold M M . Then the Lefschetz number L ( f ) L(f) and the Nielsen number
Kyung Bai Lee
core +1 more source
Maximal symmetry and unimodular solvmanifolds [PDF]
Pacific Journal of Mathematics, 2019 Recently, it was shown that Einstein solvmanifolds have maximal symmetry in the sense that their isometry groups contain the isometry groups of any other left-invariant metric on the given Lie group. Such a solvable Lie group is necessarily non-unimodular.
openaire +3 more sources
Bott–Chern Formality and Massey Products on Strong Kähler with Torsion and Kähler Solvmanifolds [PDF]
We study the interplay between geometrically-Bott–Chern-formal metrics and SKT metrics. We prove that a 6-dimensional nilmanifold endowed with a invariant complex structure admits an SKT metric if and only if it is geometrically-Bott–Chern-formal.
Sferruzza T., Tomassini A.
core +2 more sources
On the structure of complex solvmanifolds [PDF]
Journal of Differential Geometry, 1988 A connected complex space X is called a solvmanifold if there is a connected complex solvable Lie group G which acts holomorphically and transitively on it. The aim of the paper is to study two classes of solvmanifolds: i) X is Kähler, ii) X is separable by analytic hypersurfaces.
Oeljeklaus, Karl, Richthofer, Wolfgang
openaire +2 more sources
On the d-invariant of compact solvmanifolds.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1985 Let G be a connected real Lie group and \(\Gamma\) a closed subgroup of G. Then \(\Gamma\) is called a lattice if G/\(\Gamma\) is compact. Every basis of the Lie algebra \({\mathfrak g}\) of G determines a parallelization of G/\(\Gamma\) and hence by the Thom-Pontryagin construction an element [G/\(\Gamma\) ], the stable homotopy of spheres. Earlier by
Singhof, W., Deninger, Ch.
openaire +1 more source
Grupos de Bieberbach y holonomía de solvariedades planas [PDF]
, 2018 Tesis (Lic. en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, Física y Computación, 2018.Una solvariedad es una variedad compacta de la forma L/G donde G es un grupo de Lie soluble simplemente conexo y L es un retículo ...
Tolcachier, Alejandro
core +1 more source
On compact symplectic and Kählerian solvmanifolds which are not completely solvable [PDF]
, 1997 We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7].
Tralle, Aleksy
core
The classification of flat solvmanifolds [PDF]
Transactions of the American Mathematical Society, 1978 This paper contains a complete algebraic characterization of the fundamental groups of flat solvmanifolds. This characterization is in terms of finite integral representations of free abelian groups and the associated cohomology. A classification of compact flat solvmanifolds follows, and a list of all compact flat solvmanifolds of
openaire +2 more sources