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| Twistor Spinors and Quasi-twistor Spinors |
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Citation： |
Y. F. Chen.Twistor Spinors and Quasi-twistor Spinors[J].Chinese Annals of Mathematics B,2016,37(3):451~464 |
| Page view： 1284
Net amount： 967 |
Authors： |
Y. F. Chen; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11301202, 11571131). |
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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. |
Keywords： |
Dirac operator, Twistor spinor, Scalar curvature |
Classification： |
53C27, 53C40 |
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