On astheno-K\"ahler manifolds
Punam Gupta, Nidhi Yadav
TL;DR
This survey reviews classical and recent results on astheno-K"ahler manifolds, providing examples and discussing the challenges in their existence within complex geometry.
Contribution
It compiles and analyzes both historical and new findings on astheno-K"ahler manifolds, including examples and existence challenges.
Findings
Compilation of classical and recent results
Examples of astheno-K"ahler manifolds provided
Discussion of existence challenges
Abstract
This survey explores a range of classical findings and recent developments related to our understanding of astheno-K\"ahler manifolds. Furthermore, we provide various examples of astheno-K\"ahler manifolds and analyze the challenges associated with their existence.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology