A one-parameter family of totally umbilical hyperspheres in the nearly Kaehler 6-sphere
Jihong Bae, JeongHyeong Park, Kouei Sekigawa
TL;DR
This paper explores a specific family of hyperspheres in the nearly Kaehler 6-sphere, analyzing their geometric structures and properties related to almost contact metric structures.
Contribution
It introduces a one-parameter family of totally umbilical hyperspheres and studies their almost contact metric structures within the nearly Kaehler 6-sphere.
Findings
Identification of two types of almost contact metric structures
Characterization of geometric properties of the hyperspheres
Insights into the structure of nearly Kaehler manifolds
Abstract
We discuss two kinds of almost contact metric structures on a one-parameter family of totally umbilical hyperspheres in the nearly Kaehler unit 6-sphere.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds