Abstract
We obtain some sharp estimates on the first eigenvalues of complete noncom pact Riemannian manifolds under assumptions of volume growth. Using these estimates we study hypersurfaces with constant mean curvature and give some estimates on the mean curvatures.
1991 Mathematics Subject Classification. Primary 53C42; Secondary 53A10, 53C20, 35J60.
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Carmo, M.P.d., Zhou, D. (2012). Eigenvalues Estimates on Complete Noncompact Riemannian Manifolds and Applications. In: Tenenblat, K. (eds) Manfredo P. do Carmo – Selected Papers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25588-5_28
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DOI: https://doi.org/10.1007/978-3-642-25588-5_28
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