Results 71 to 80 of about 168 (112)

Model solvmanifolds for lefschetz and nielsen theories

open access: yes, 2004
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 :
Heath, Philip R, Keppelmann, Edward C
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A construction of lattices on certain solvable Lie groups

open access: yes, 2007
The purpose in this paper is to prove that there exists a lattice on certain solvable Lie groups and to construct a symplectic solvmanifold with the Hard Lefschetz property, and a locally conformal Kähler solvmanifold.
Hiroshi Sawai
core   +1 more source

On solvmanifolds and a conjecture of Benson and Gordon from the hamiltonian viewpoint

open access: yes, 1998
In this work we prove a theorem which shows that under some mild restrictions on a solvmanifold G=\Gamma the existence of a Kahler structure on it forces G to be metabelian and, hence this result is only `one-step' removed from the original Benson ...
Andrzejewski, W.   +3 more
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1-LEFSCHETZ CONTACT SOLVMANIFOLDS

open access: yes
We study the contact 1-Lefschetz condition on compact contact solvmanifolds with an invariant contact form, as introduced by B. Cappelletti-Montano, A. De Nicola and I. Yudin. We prove that the 1-Lefschetz condition on Lie algebras is preserved via 1-dimensional central extensions by a symplectic cocycle, thereby establishing that a unimodular ...
Andrada, Adrián, Garrone, Agustín
openaire   +2 more sources

Solutions avec flux de la théorie des cordes sur tores twistés, et Géométrie Complexe Généralisée [PDF]

open access: yes, 2010
This thesis is devoted to the study of flux vacua of string theory, with the ten-dimensional space-time split into a four-dimensional maximally symmetric space-time, and a six-dimensional internal manifold M, taken to be a solvmanifold (twisted torus ...
Andriot, David
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On the Classifications of Nilsoliton Derivations by Symbolic Computation

open access: yes, 2023
A Riemannian metric is an important tool for the geometric structure of a given manifold. Particularlyon Lie groups, it is possible to define several different Riemannian metrics.
Kadıoğlu, Hülya
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Integrable geodesic flows on the suspensions of toric automorphisms

open access: yes, 1999
For any toric automorphism A element of SL(n, Z) with only real eigenvalues a Riemannian metric with an integrable geodesic flow on the suspension of this automorphism is constructed.
Taimanov, I.A. (Institute of Mathematics, Novosibirsk (Russian Federation))   +2 more
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Estructuras localmente conformes Kähler y localmente conformes simplécticas en solvariedades compacta [PDF]

open access: yes, 2017
Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, Física y Computación, 2017.En esta tesis estudiamos las estructuras localmente conformes Kähler (LCK) y localmente conformes simplécticas (LCS) invariantes
Origlia, Marcos Miguel
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