Remarks on astheno-Kahler manifolds, Bott-Chern and Aeppli cohomology groups
Ionut Chiose, Rares Rasdeaconu
TL;DR
This paper introduces a new cohomological obstruction to determine when astheno-Kahler metrics can exist and explores relevant examples to illustrate this criterion.
Contribution
It presents a novel cohomological obstruction for the existence of astheno-Kahler metrics and analyzes examples related to this obstruction.
Findings
Identified a new cohomological obstruction to astheno-Kahler metrics
Studied examples illustrating the obstruction
Enhanced understanding of cohomology in complex geometry
Abstract
We provide a new cohomological obstruction to the existence of astheno-Kahler metrics, and study relevant examples.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology