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arXiv · 1811.12330

Symplectic manifolds, $L^p$-cohomology and $q$-parabolicity

Francesco Bei
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Abstract

Let $(M,\omega,J,g)$ be a non-compact almost K\"ahler manifold. In this paper we provide various criteria that assure that $\omega^k$ induces a non trivial class in the reduced $L^p$ maximal/minimal cohomology of $(M,g)$. Furthermore in the last part we explore some topological applications of our results.

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Francesco Bei. 2018-11-29. Symplectic manifolds, $L^p$-cohomology and $q$-parabolicity. https://arxiv.org/abs/1811.12330

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