Complex almost contact metric structures on complex hypersurfaces in hyperkahler manifolds
Mitsuhiro Imada
TL;DR
This paper introduces complex metric structures on complex hypersurfaces within hyperkahler manifolds, extending contact geometry concepts to this setting.
Contribution
It constructs complex almost contact metric structures on complex hypersurfaces in hyperkahler manifolds, a novel application of contact geometry.
Findings
New complex metric structures on hypersurfaces
Extension of contact geometry concepts
Framework for further geometric analysis
Abstract
In this paper, we construct complex metric structures on complex hypersurfaces in hyperkahler manifolds. This construction is that in contact geometry.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology