Cohomological properties and Hermitian metrics of complex non-K\"ahler manifolds
Daniele Angella, Nicoletta Tardini
TL;DR
This paper explores the cohomological invariants and metric properties of complex non-Kähler manifolds, addressing key problems in understanding their geometric and topological structures.
Contribution
It provides a partial analysis of cohomological and metric issues specific to complex non-Kähler manifolds, highlighting areas for further research.
Findings
Identifies specific cohomological invariants relevant to non-Kähler manifolds
Examines metric properties and their relation to cohomology
Highlights unresolved problems in the field
Abstract
We give a partial account of some problems concerning cohomological invariants and metric properties of complex non-K\"ahler manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology