Results 51 to 60 of about 163 (116)

Classification, Cobordism, and Curvature of Four-Dimensional Infra-Solvmanifolds [PDF]

, 2014
Crystallographic groups of solvable Lie groups generalize the crystallographic groups of Euclidean space. The quotient of a solvable Lie group G by the action of a torsion-free crystallographic group of G is an infra-solvmanifold of G.
Thuong, Scott Van
core  

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

Small deformations and non-left-invariant complex structures on six-dimensional compact solvmanifolds [PDF]

, 2010
We observed in our previous paper that all the complex structures on four-dimensional compact solvmanifolds, including tori, are left-invariant. In this paper we will give an example of a six-dimensional compact solvmanifold which admits a continuous ...
Hasegawa, Keizo
core   +1 more source

On the canonical bundle of complex solvmanifolds and applications to hypercomplex geometry [PDF]

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 $G$.
Andrada, Adrián, Andrada, Adrián Marcelo, Tolcachier, Alejandro   +2 more
core   +1 more source

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

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

Cohomological properties of unimodular six dimensional solvable Lie algebras [PDF]

, 2011
In the present paper we study six dimensional solvable Lie algebras with special emphasis on those admitting a symplectic structure. We list all the symplectic structures that they admit and we compute their Betti numbers finding some properties about ...
Macrì, Maura, Macri', Maura
core   +1 more source

The mean curvature flow on solvmanifolds

Boletín de la Sociedad Matemática Mexicana
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. We introduce the mean curvature flow and some known results in the field.
Romina M. Arroyo, Gabriela P. Ovando, Raquel Perales, Mariel Sáez   +3 more
openaire   +4 more sources

Einstein solvmanifolds are standard [PDF]

Annals of Mathematics, 2010
We study Einstein manifolds admitting a transitive solvable Lie group of isometries (solvmanifolds). It is conjectured that these exhaust the class of noncompact homogeneous Einstein manifolds. J. Heber has showed that under certain simple algebraic condition called standard (i.e.
openaire   +2 more sources

Symplectic harmonicity and generalized coeffective cohomologies [PDF]

, 2019
Relations between the symplectically harmonic cohomology and the coeffective cohomology of a symplectic manifold are obtained. This is achieved through a generalization of the latter, which in addition allows us to provide a coeffective version of the ...
Ugarte, L., Villacampa, R.
core   +1 more source