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Références
J.L. Barbosa, M. do Carmo, J. Eschenburg —Stability of hypersurfaces of constant mean curvature in Riemannian manifolds, Math. Z.197 (1988), 123–138.
P. Bérard, G. Besson —Number of bound states and estimates on some geometric invariants, J. Funct. Analysis94(2) (1990), 375–396.
P. Bérard, M. do Carmo, W. Santos —The index of constant mean curvature surfaces in hyperbolic 3-space, Math. Z.222 (1997), 313–326.
P. Bérard, M. do Carmo, W. Santos —Complete hypersurfaces with constant mean curvature and finite total curvature, Prépublication.
M. do Carmo, A.M. da Silveira —Index and total curvature of surfaces with constant mean curvature, Proc. Amer. Math. Soc.110 (1990), 1009–1015.
I. Chavel —Eigenvalues in Riemannian Geometry, Academic Press, 1984.
D. Fischer-Colbrie —On complete minimal surfaces with finite Morse index in three-manifold, Invent. Math.82 (1985), 121–132.
D. Hoffman, J. Spruck —Sobolev and isoperimetric inequalities for riemannian submanifolds, Comm. Pure Appl. Math27 (1974), 715–727; erratum, Comm. Pure Appl. Math28 (1975), 765–766.
H. Karcher —Riemannian comparison constructions, in “Global Differential Geometry”, vol. 27, pp. 170–222, MAA studies in Math., 2nd ed., 1989.
E. Lieb —The number of bound states of one-body Schrödinger operators and the Weyl problem, in “Proc. Symp. Pure Math.”, vol. 36, pp. 241–252, Amer. Math. Soc., Providence, RI, 1980.
M. Reed, B. Simon —Methods of modern mathematical physics, Academic Press, 1979 (vol. I à IV)
N. Varopoulos —Isoperimetric inequalities and markov chains, J. Funct. Analysis63 (1985), 215–239.
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Castillon, P. Sur l’Opérateur de Stabilité des Sous-Variétés à Courbure Moyenne Constante dans l’Espace Hyperbolique. Manuscripta Math 94, 385–400 (1997). https://doi.org/10.1007/BF02677861
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DOI: https://doi.org/10.1007/BF02677861