; 1040-53-117 G. P. Bessa_ _bessa_m
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1040-53-117 G. P. Bessa_ _bessa_m

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									1040-53-117          G. P. Bessa* (bessa@mat.ufc.br), Departamento de Matematica, Bloco 914, Campus do Pici,
                     Universidade Federal do Ceara, Fortaleza, 60455-760, Brazil, and J. F. Montenegro.
                     Isoperimetric inequalities for compact domains in submanifolds of N × R.
The theory of minimal surfaces in product spaces N × R has shown to be a rich theory in the recent years with a wealth
of examples and results. In this spirit, we stablishe certain isoperimetric inequalities for compact subsets of minimal
submanifolds of N × R, where N is a complete Riemannian n-manifold with sectional curvature KN ≤ b ≤ 0 improving
results of Markvorsen-Palmer. We also stablish a comparison result for the mean time of the first exit of compact subsets
of minimal submanifolds of N × R extending a well known result due to Markvorsen. (Received January 29, 2008)




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