Generalized Killing spinors on Einstein manifolds
Andrei Moroianu, Uwe Semmelmann
TL;DR
This paper investigates generalized Killing spinors on compact Einstein manifolds with positive scalar curvature, exploring their relation to Einstein hypersurfaces and special geometric structures like Calabi-Yau and G_2 manifolds.
Contribution
It establishes a connection between generalized Killing spinors and the existence of Einstein hypersurfaces in manifolds with special holonomy.
Findings
Characterization of generalized Killing spinors on Einstein manifolds
Relation to Einstein hypersurfaces in special holonomy manifolds
Insights into geometric structures with parallel spinors
Abstract
We study generalized Killing spinors on compact Einstein manifolds with positive scalar curvature. This problem is related to the existence compact Einstein hypersurfaces in manifolds with parallel spinors, or equivalently, in Riemannian products of flat spaces, Calabi-Yau, hyperkaehler, G_2 and Spin(7) manifolds.
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