Results 51 to 60 of about 643 (100)

Symplectic Bott–Chern cohomology of solvmanifolds [PDF]

Journal of Symplectic Geometry, 2019
(Table 3 has been corrected.)
ANGELLA, DANIELE, Kasuya, Hisashi
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Solvegeometry gravitational waves

, 2004
In this paper we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front (i.e., the wave-fronts are solvable Lie groups equipped with a left-invariant metric).
Alekseevskii D V, Benedetti R, Berenstein D, Besse A L, Bi?ák J, Bianchi L, Blau M, Coley A A Hervik S, Coley A A Hervik S Pelavas N, Defrise L, Ellis G F R, Feinstein A, Goldman W H, Gutperle M, Helgason S, Hervik S, Hervik S, Kaigorodov V R, Kundt W, Milnor J, Ozsváth I, Podolský J, Pravda V, Salazar H, Sigbjørn Hervik, Siklos S T C, Stephani H, Thurston W P, Thurston W P, Wolter T H, Wolter T H   +30 more
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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.
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Cohomologies of deformations of solvmanifolds and closedness of some properties [PDF]

, 2017
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes.
Angella, Daniele, Kasuya, Hisashi
core  

The Anosov theorem for exponential solvmanifolds [PDF]

Pacific Journal of Mathematics, 1995
The authors exhibit a class \({\mathcal N} {\mathcal R}\) of compact solvmanifolds such that for any \(S \in {\mathcal N} {\mathcal R}\) and any selfmap \(f : S \to S\) the Nielsen number \(N(f)\) equals the absolute value \(|L(f) |\) of the Lefschetz number.
Keppelmann, Edward C., McCord, Christopher K.   +1 more
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SKT and tamed symplectic structures on solvmanifolds [PDF]

Tohoku Mathematical Journal, 2015
Final version of the paper "Tamed complex structures on solvmanifolds".
FINO, Anna Maria, H. Kasuya, VEZZONI, Luigi   +2 more
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Einstein solvmanifolds: existence and non-existence questions

, 2010
The general aim of this paper is to study which are the solvable Lie groups admitting an Einstein left invariant metric. The space N of all nilpotent Lie brackets on R^n parametrizes a set of (n+1)-dimensional rank-one solvmanifolds, containing the set ...
Lauret, Jorge, Will, Cynthia
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Exotic smooth structures and symplectic forms on closed manifolds

, 2007
We give a short proof of the (known) result that there are no Kaehler structures on exotic tori. This yields a negative solution to a problem posed by Benson and Gordon.
A. Besse, A. Kosiński, A. Tralle, Aleksy Tralle, B. Hajduk, B.D. Park, B.D. Park, Bogusław Hajduk, C. Benson, C. Benson, C.H. Taubes, C.T.C. Wall, D. Arapura, D. Arapura, D. Kotschik, D. McDuff, D. McDuff, F. Catanese, F. Connolly, G. Lupton, G.R. Cavalcanti, H. Lawson, I. Babenko, J. Barge, J. McCarthy, J. Park, K. Fritzsche, K. Hasegawa, K. Hasegawa, L.A. Cordero, M. Fernández, M. Fernández, M. Fernández, M. Gromov, N. Hitchin, R. Fintushel, R. Gompf, R. Ibáñez, S. Wang, W. Barth, W.C. Hsiang, W.C. Hsiang, W.P. Thurston, Y. Rudyak   +43 more
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Lattices, cohomology and models of six dimensional almost abelian solvmanifolds

, 2012
We construct lattices on six dimensional not completely solvable almost abelian Lie groups, for which the Mostow condition does not hold. For the corresponding compact quotients, we compute the de Rham cohomology (which does not agree in general with the
Console, Sergio, Macrì, Maura
core  

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.
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