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References
K. Benko, M. Kothe, K.-D. Semmler, U. Simon, Eigenvalues of the Laplacian and curvature, Colloquium math., to appear.
M. Berger, P. Gauduchon, E. Mazet, Le spectra d’une variété riemannienne, Lecture Notes in Mathematics 194 (1971), Springer, Berlin-Heidelberg-New York.
L. P. Eisenhart, Riemannian Geometry, Princeton Univ. Press 19604.
M. Obata, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. math. Soc. Japan 14 (1962), 333–340.
E. Schrödinger, Abhandlung zur Wellenmechanik, Johann Ambrosius Barth, Leipzig 1927.
U. Simon, Curvature bounds for the spectrum of closed Einstein spaces, Canadian J. Math. Z. 153 (1977), 23–27.
U. Simon, Submanifolds with parallel mean curvature vector and the curvature of minimal submanifolds of spheres, Archiv Math. 29 (1977), 106–112.
S. Tanno, Some differential equations on Riemannian manifolds, Colloquium math., to appear.
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© 1981 Springer-Verlag
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Barthel, D., Kümritz, R. (1981). Laplacian with a potential. In: Ferus, D., Kühnel, W., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088838
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DOI: https://doi.org/10.1007/BFb0088838
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