Results 81 to 90 of about 163 (116)

Model solvmanifolds for lefschetz and nielsen theories

, 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
core  

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

, 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., Tralle, A., Aleksy Tralle, Wojciech Andrzejewski   +3 more
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On the spectrum of a compact solvmanifold

, 1973
Roger Howe
core   +1 more source

Special non-K\"ahler metrics on Endo-Pajitnov manifolds

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 ...
Otiman, Alexandra, Ciulică, Cristian, Stanciu, Miron   +2 more
core  

Uniform distribution in solvmanifolds

Advances in Mathematics, 1971
Auslander, L., Brezin, J.
openaire   +2 more sources

A non-Standard Indefinite Einstein Solvmanifold

Rossi, Federico A.
core   +1 more source

SMALL COVER, INFRA-SOLVMANIFOLD AND CURVATURE

Kuroki, Shintaro, Yu, Li, Masuda, Mikiya
core   +1 more source

A six-dimensional compact symplectic solvmanifold without Kahler structures

FERNANDEZ, MARISA, LEON, MANUEL de, SARALEGUI, MARTIN   +2 more
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VAISMAN STRUCTURES ON LCK SOLVMANIFOLDS

Tsukuba Journal of Mathematics, 2023
An LCK manifold is a Hermitian manifold \((M,g,J)\) such that the fundamental \(2\)-form \(\Omega\), defined by \(\Omega(X,Y)=g(X,JY)\), satisfies the condition \(d\Omega= \omega\wedge \Omega\) for a closed 1-form \(\omega\). An LCK manifold is said to be Vaisman if \(\omega\) is parallel.
Hiroshi Sawai
exaly   +3 more sources

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.
ALESSANDRINI, Lucia, M. Andreatta
openaire   +5 more sources