Imaginary K\"ahlerian Killing spinors I
Nicolas Ginoux, Uwe Semmelmann
TL;DR
This paper introduces and characterizes a new family of K"ahler spin manifolds that admit non-trivial imaginary K"ahlerian Killing spinors, expanding understanding of special geometric structures.
Contribution
It identifies and describes a novel class of K"ahler manifolds with specific spinor properties, contributing to geometric analysis and spin geometry.
Findings
New family of K"ahler spin manifolds characterized.
Existence of non-trivial imaginary K"ahlerian Killing spinors established.
Partial classification and properties discussed.
Abstract
We describe and to some extent characterize a new family of K\"ahler spin manifolds admitting non-trivial imaginary K\"ahlerian Killing spinors.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics