Hermitian structures on the product of Sasakian manifolds
Jung Chan Lee, JeongHyeong Park, and Kouei Sekigawa
TL;DR
This paper explores the curvature properties of a specific family of Hermitian structures on the product of two Sasakian manifolds, providing conditions for Einstein metrics and concrete examples.
Contribution
It introduces a two-parameter family of Hermitian structures on Sasakian products and characterizes when these are Einstein, with explicit examples.
Findings
Derived necessary and sufficient conditions for Einstein Hermitian structures.
Analyzed curvature properties of the family of structures.
Provided explicit examples illustrating the theoretical results.
Abstract
We investigate the curvature properties of a two-parameter family of Hermitian structures on the product of two Sasakian manifolds, as well as intermediate relations. We give a necessary and sufficient condition for a Hermitian structure belonging to the family to be Einstein and provide concrete examples.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Geometric and Algebraic Topology