On non-Kähler degrees of complex manifolds

Abstract

We study cohomological properties of complex manifolds. In particular, under suitable metric conditions, we extend to higher dimensions a result by A. Teleman, which provides an upper bound for the Bott-Chern cohomology in terms of Betti numbers for compact complex surfaces according to the dichotomy $b_1$ even or odd.

References in corpus (2)

• Quantitative and qualitative cohomological properties for non-Kähler manifolds
• A Frölicher-type inequality for generalized complex manifolds

Cited by in corpus (2)

• Classification of non-Kahler surfaces and locally conformally Kahler geometry
• Symplectic cohomologies and deformations