منابع مشابه
Imaginary Killing Spinors in Lorentzian Geometry
We study the geometric structure of Lorentzian spin manifolds, which admit imaginary Killing spinors. The discussion is based on the cone construction and a normal form classification of skew-adjoint operators in signature (2, n−2). Derived geometries include Brinkmann spaces, Lorentzian Einstein-Sasaki spaces and certain warped product structures. Exceptional cases with decomposable holonomy o...
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Under intrinsic and extrinsic curvature assumptions on a Riemannian spin manifold and its boundary, we show that there is an isomorphism between the restriction to the boundary of parallel spinors and extrinsic Killing spinors of nonnegative Killing constant. As a corollary, we prove that a complete Ricci-flat spin manifold with mean-convex boundary isometric to a round sphere, is necessarily a...
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2011
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-011-9268-y