A new cohomology on special kinds of complex manifolds
Kostadin Trenčevski (2003)
Kragujevac Journal of Mathematics
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Displaying similar documents to “The geometry of a closed form”
A new cohomology on special kinds of complex manifolds
A geometric description of differential cohomology
Ulrich Bunke, Matthias Kreck, Thomas Schick (2010)
Annales mathématiques Blaise Pascal
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In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [, , , ]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in []. There the starting point was Quillen’s cobordism description of singular...
On compact symplectic and Kählerian solvmanifolds which are not completely solvable
Aleksy Tralle (1997)
Colloquium Mathematicae
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We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7]. These papers used the Hattori theorem concerning the cohomology of solvmanifolds hence the results obtained covered only the completely solvable case}. Our results do not use the assumption of complete solvability. We apply our methods to construct a new example of a compact symplectic non-Kählerian solvmanifold.
Some results about Mastrogiacomo cohomology.
Manea, Adelina (2005)
General Mathematics
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Homotopy theory and circle actions on symplectic manifolds
John Oprea (1998)
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On the geometry of the standard -symplectic and Poisson manifolds.
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Connections on -symplectic manifolds.
Blaga, Adara M. (2009)
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A symplectic reduction for pseudo-Riemannian manifolds with compatible almost product structures.
Konderak, Jerzy J. (2004)
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Dolbeault homotopy theory and compact nilmanifolds
L. Cordero, M. Fernández, A. Gray, L. Ugarte (1998)
Banach Center Publications
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In this paper we study the degeneration of both the cohomology and the cohomotopy Frölicher spectral sequences in a special class of complex manifolds, namely the class of compact nilmanifolds endowed with a nilpotent complex structure. Whereas the cohomotopy spectral sequence is always degenerate for such a manifold, there exist many nilpotent complex structures on compact nilmanifolds for which the classical Frölicher spectral sequence does not collapse even at the second term. ...