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References
Atiyah, M. F.; Hitchin, N.: The Geometry and Dynamics of Magnetic Monopoles. Princeton: University Press, 1988.
Baum, H.: Spin-Strukturen und Dirac-Operatoren übereudo-Riemannschen Mannigfaltigkeiten. Leipzig: Teubner-Verlag, 1981 (Tuebner-Texte zur Mathematik, 41).
Baum, H.: Odd-dimensional Riemannian manifolds with imaginary Killing spinors. Ann. Globaal Anal. Geom. 7 (1989) 2.
Bishop, R. L.; O'Neill, B.: Manifolds of negative curvature. Trans. Amer. Math. Soc. 145 (1969), 1–49
Cahen, M.; Gutt, S.; Lemaire, L.; Spindel, P.: Killing spinors. Bull. Soc. Math. Belg., Ser. A38 (1986), 75–102
Duff, M. J.; Nilsson, B.; Pope, C. N.: Kaluza-Klein supergravity. Phys. Rep. 130 (1986), 1–142
Eguchi, T.; Gilkey, P. B.; Hanson, A. J.: Gravitation gauge theories and differential geometry. Phys. Rep. 66 (1980) 6
Franc, A.: Spin-structures and killing spinors on Lens spaces. J. Geom. Phys. 4 (1987) 3, 277–288.
Friedrich, Th.: Der erste Eigenwert des Dirac-Operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung. Math. Nachr. 97 (1980), 117–146.
Friedrich, Th.: Zur Existenz paralleler Spinorfelder über Riemannschen Mannigfaltigkeiten. Colloq. Math. 44 (1981) 2, 277–290.
Friedrich, Th.: A remark on the first eigenvalue of the Dirac operators on 4-dimensional manifolds. Math. Nachr. 102 (1981), 53–56.
Friedrich, Th.: On the conformal relation between twistors and Killing spinors. To appear.
Friedrich, Th.; Grunewald, R.: On the first eigenvalue of the Dirac operator on 6-dimensional manifolds. Global Anal. Geom. 3 (1985) 3, 265–273.
Friedrich, Th.; Kath, I.: Einstein manifolds of dimension five with small first eigenvalue of the Dirac operator. To appear in J. Differ. Geom.
Friedrich, Th.; Kath, I.: Compact 5-dimensional Riemannian manifolds with parallel spinors. To appear in Math. Nachr.
Friedrich, Th.; Kath, I.: Compact seven-dimensional manifolds with Killing spinors. To appear.
Gibbons, G. W.; Hawkins, S. W.: Gravitational multiinstantons. Phys. Lett. B78 (1978), 430–432.
Grunewald, R.: Untersuchungen über Einstein-Metriken auf 6-dimensionalen Mannigfaltigkeiten. Berlin, Humboldt-Universität, Sekt. Math., Diss. A, 1987.
Hijazi, O.: Caractérisation de la sphére par les premiéres valeurs propres de l'opérateur de Dirac en dimension 3, 4, 7 et 8. C. R. Acad. Sci Paris, Ser. I 303 (1986) 9,417–419.
Hijazi, O.: A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors. Commun. Math. Phys. 104 (1986) 1, 151–162.
Hitchin, N.: Polygons and gravitons. Math. Pro c. Camb. Philos. Soc. 85 (1979), 465–476.
Kronheimer, P. B.: The construction of gravitational instantons as Hyperkähler quotients. Preprint.
Licherowicz, A. Spin manifolds, Killing spinors and University of the Hijazi inequality. Lett. Math. Phys. 13 (1987), 331–344.
Lichnerowicz, A.: Les spineurs — twisteurs surune variété spinorielle compacte. C. R. Acad. Sci. Paris, Ser. I, 306 (1988) 8, 381–385.
Nilsson, B. C.; Pope, C. N.: Scalar and Dirac eigenfunctions on the squashed seven-sphere. Phys. Lett. B 133 (1983) 1/2, 67–71.
Sulanke, S.: Der erste Eigenwert des Dirac operators auf S5/Γ. Math. Nachr. 99 (1980), 259–271.
Wang, McKenzie, Y.: Parallel spinors and parallel forms. Ann. Global Anal. Geom. 7 (1989) 1.
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Baum, H. Complete Riemannian manifolds with imaginary Killing spinors. Ann Glob Anal Geom 7, 205–226 (1989). https://doi.org/10.1007/BF00128299
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DOI: https://doi.org/10.1007/BF00128299