Explicit Constructions of Astheno-K\"ahler Manifolds
Punam Gupta, Nidhi Yadav
TL;DR
This paper explores conditions for constructing astheno-K"ahler structures on products of certain compact manifolds, expanding understanding of complex geometric structures in differential geometry.
Contribution
It provides explicit criteria for establishing astheno-K"ahler structures on products of compact trans-Sasakian manifolds, a novel contribution to complex geometry.
Findings
Identified conditions for astheno-K"ahler structures on product manifolds
Extended the class of manifolds known to admit such structures
Provided explicit geometric constructions
Abstract
We investigate the conditions under which astheno-K\"ahler structures can be identified on the product of two compact trans-Sasakian manifolds of dimensions greater than 2.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations