References
L. F. Cheung, A non-existence theorem for stable constant mean curvature hypersurfaces. Manuscripta Math.70, 219–226 (1991).
S. S. Chern, On the curvatures of a piece of hypersurface in Euclidean space. Abh. Math. Sem. Univ. Hamburg29, 77–91 (1965).
S. Y. Cheng andS. T. Yau, Differential equations on Riemannian manifolds and their geometric applications. Comm. Pure Appl. Math.28, 333–354 (1975).
D. Fischer-Colbrie, On complete minimal surfaces with finite Morse index in three-manifolds. Invent. Math.82, 121–132 (1985).
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Alencar, H., Do Carmo, M. Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth. Arch. Math 60, 489–493 (1993). https://doi.org/10.1007/BF01202317
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DOI: https://doi.org/10.1007/BF01202317