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math.DG2012
Curvature estimates for properly immersed -bounded submanifolds
G. Pacelli Bessa, Barnabe P. Lima, Leandro F. Pessoa
Jorge-Koutrofiotis and Pigola-Rigoli-Setti proved sharp sectional curvature estimates for extrinsically bounded submanifolds. Alias, Bessa and Montenegro showed that these estimate…
math.DG2004
Fundamental tone estimates for elliptic operators in divergence form and geometric applications
Gregorio Pacelli F Bessa, Barnabe Pessoa Lima, J. Fabio Montengro +1
We establish a method for giving lower bounds for the fundamental tone of elliptic operators in divergence form in terms of the divergence of vector fields. We then apply this meth…