Generalized Killing spinors on Einstein manifolds
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🧮 math.DG
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manifoldseinsteinspinorscompactgeneralizedkillingcalabi-yaucurvature
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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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