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References
Bishop, R.L., Crittenden, R.J.: Geometry of manifolds, New York, Acad. Pr., 1964.
Cheng, S.Y.: Eigenvalue comparison theorems and its geometric applications, Math. Z. 143(1975), 289–297.
Eichhorn, J.: Das Spektrum von Δp auf offenen Riemannschen Mannigfaltigkeiten mit beschränkter Schnittkrümmung und beschränktem Kern-Tensor, to appear in Colloqu. Math.
Gray, A.: Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula. Preprint MD 81-8-AG, February 1981, University of Maryland.
Hildebrandt, S., Kaul, H., Widman, K.-O.: An existence theorem for harmonic mappings of Riemannian manifolds, Acta Math. 138(1977), 1–16.
Kaul, H.: Schranken für die Christoffelsymbole, Manuscripta Math. 19(1976), 261–273.
Kostjucenko, A.G., Sargsjan, I.S.: Distribution of eigenvalues (Russian), Nauka, Moscow 1979.
McKean, H.P.: An upper bound to the spectrum of Δ on a manifold of negative curvature, J. Diff. Geom. 4(1970) 359–366.
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Eichhorn, J. The essential spectrum of non-simply-connected open complete Riemannian manifolds. Ann Glob Anal Geom 2, 1–18 (1984). https://doi.org/10.1007/BF01871943
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DOI: https://doi.org/10.1007/BF01871943