Displaying similar documents to “A new cohomology on special kinds of complex manifolds”

L p , q -cohomology of warped cylinders

Yaroslav Kopylov (2009)

Annales mathématiques Blaise Pascal

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We extend some results by Gol ′ dshtein, Kuz ′ minov, and Shvedov about the L p -cohomology of warped cylinders to L p , q -cohomology for p ≠ q . As an application, we establish some sufficient conditions for the nontriviality of the L p , q -torsion of a surface of revolution.

The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category

J. Bryden, P. Zvengrowski (1998)

Banach Center Publications

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This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds. ...

A note on a generalized cohomology equation

K. Krzyżewski (2000)

Colloquium Mathematicae

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We give a necessary and sufficient condition for the solvability of a generalized cohomology equation, for an ergodic endomorphism of a probability measure space, in the space of measurable complex functions. This generalizes a result obtained in [7].