On the twistor-spinors |
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Authors: | A Lichnerowicz |
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Institution: | (1) Collège de France, 3, Rue d'Ulm, 75005 Paris, France |
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Abstract: | Two interesting conformal invariants which are constant on the manifold are given for twistor-spinors on a spin manifold following the notion of a twistor-spinor associated to a twisted spin bundle. For a twisted spin bundle corresponding to a flat Hermitian vector bundle, the associated twistor-spinors admit the same conformal invariants.An analysis is made of the twistor-spinors given by
, where f is a complex-valued function. There is only one case where is not a Killing spinor. An example is given of a compact spin manifold for which the situation is realized. |
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Keywords: | 58G30 53A30 53A50 |
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