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Über den Dirac-Operator auf Grassmann-Mannigfaltigkeiten. (German) Zbl 0473.53047


MSC:

53C35 Differential geometry of symmetric spaces
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

Citations:

Zbl 0473.53046
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References:

[1] Borel/F., J. Math. 80 pp 458– (1958)
[2] Friedrich, Math. Nachr. 66 pp 247– (1975)
[3] Hotta, Invent, Math. 26 pp 133– (1974)
[4] Parthasarathy, Ann. of Math. 96 pp 1– (1971)
[5] Leichtweiss, Z. 76 pp 334– (1961)
[6] Harmonische Analyse des Paares (SO(N). SO(K)xSO(N - K)) und das Spektrum von GRASSMANN-Mannigfaltigkeiten, Dissertation, Berlin 1979.
[7] Strese, Nachr. 98 pp 75– (1980)
[8] Berechnung des Spektrums des Quadrates des DIRAC-Operators auf der Sphäre, Colloq. Math. (im Druck).
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