References
Bär, C.: Das Spektrum von Dirac-Operatoren. Dissertation. Bonn. Math. Schr.217 (1991)
Cahen, M., Gutt, S.: Spin syructures on compact sinply connected Riemannian symmetric spaces. Simon Stevin62, 209–242 (1988)
Friedrich, T.: Der erste Eigenwert des Dirac-Operators einer kompakten Riemannschen Mannigfaltigkeit nicht-negativer Krümmung. Math. Nachr.97, 117–146 (1980)
Hersch, J.: Quatre propriétés isopérimétriques de membranes sphériques. C.R. Acad. Sci., Paris270, 1645–1648 (1970)
Hijazi, O.: A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors. Commun. Math. Phys. 104, 151–162 (1986)
Hitchin, N.: Harmonic spinors. Adv. Math.14, 1–55 (1974)
Kirchberg, K.-D.: An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature. Ann. Global. Anal. Geom.4, 291–325 (1986)
Kirchberg, K.-D.: Twistor-spinors on Kähler manifolds and the first eigenvalue of the Dirac operator. Humboldt-Universität Berlin: Preprint213 (1989)
Lott, J.: Eigenvalue bounds for the Dirac operator. Pac. J. Math.125, 117–126 (1986)
Roe, J.: Elliptic operators, topology and asymptotic methods. London: Longman Scientific & Technical 1988
Sulanke, S.: Berechnung des Spektrums des Quadrates des Diracoperators auf der Sphäre. Doktorarbeit. Humboldt-Universität Berlin 1978
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Bär, C. Lower eigenvalue estimates for Dirac operators. Math. Ann. 293, 39–46 (1992). https://doi.org/10.1007/BF01444701
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DOI: https://doi.org/10.1007/BF01444701