Twistor Spinors and Quasi-twistor Spinors |
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Authors: | Y F Chen |
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Institution: | School of Mathematics and Statistics,
Central China Normal University, Wuhan 430079, China. |
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Abstract: | The author studies the properties and applications of quasi-Killing
spinors and quasi-twistor spinors and obtains some vanishing
theorems. In particular, the author classifies all the types of
quasi-twistor spinors on closed Riemannian spin manifolds. As a
consequence, it is known that on a locally decomposable closed spin
manifold with nonzero Ricci curvature, the space of twistor spinors
is trivial. Some integrability condition for twistor spinors is also
obtained. |
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Keywords: | Dirac operator Twistor spinor Scalar curvature |
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