Abstract
The equations for theD(k, 0) Killing spinor fields are integrated assuming that the left conformal curvature does not vanish and that eitherk ≠ 2, 4, 6, ..., or the Einstein vacuum field equations are satisfied.
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Walker, M., Penrose, R.: On quadratic first integrals of the geodesic equations for type {22} spacetimes. Commun. Math. Phys.18, 265–274 (1970)
Hughston, L.P., Penrose, R., Sommers, P., Walker, M.: On a quadratic first integral for the charged particle orbits in the charged Kerr solution. Commun. Math. Phys.27, 303–308 (1972)
Hacyan, S., Plebañski, J.F.: Some basic properties of Killing spinors. J. Math. Phys.17, 2203–2206 (1976)
Finley III., J.D., Plebañski, J.F.: Killing vectors in planeHH spaces. J. Math. Phys.19, 760–766 (1978)
Plebañski, J.F.: Some solutions of complex Einstein equations. J. Math. Phys.16, 2395–2402 (1975)
Plebañski, J.F., Hacyan, S.: Null geodesic surfaces and Goldberg-Sachs theorem in complex Riemannian spaces. J. Math. Phys.16, 2403–2407 (1975)
Torres del Castillo, G.F.: Null strings and Bianchi identities. J. Math. Phys.24, 590–596 (1983)
Finley III., J.D., Plebañski, J.F.: The intrinsic spinorial structure of hyperheavens. J. Math. Phys.17, 2207–2214 (1976)
Hughston, L.P., Sommers, P.: The symmetries of Kerr black holes. Commun. Math. Phys.33, 129–133 (1973)
Hacyan, S., Plebañski, J.F.:D(1, 0) Killing structures and ℰ potentials. J. Math. Phys.18, 1517–1519 (1977)
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Communicated by S.-T. Yau
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Torres del Castillo, G.F. A note onD(k, 0) Killing spinors. Commun.Math. Phys. 92, 485–490 (1984). https://doi.org/10.1007/BF01215279
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DOI: https://doi.org/10.1007/BF01215279