The influence of the boundary behaviour on hypersurfaces with constant mean curvature in H n+1

M. P. do Carmo, J. de M. Gomes and G. Thorbergsson
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M. P. do Carmo: IMPA
J. de M. Gomes: IMPA
G. Thorbergsson: IMPA

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 253-265 from Springer

Abstract: Abstract This paper deals with complete, properly embedded hypersurfaces M n with constant mean curvature H of the hyperbolic space H n+1, and addresses itself to the following general question. How is the behaviour of such hypersurfaces influenced by their behaviour at infinity?

Keywords: Hyperbolic Space; Conformal Transformation; Curvature Vector; Boundary Behaviour; Asymptotic Boundary (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25588-5_20

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DOI: 10.1007/978-3-642-25588-5_20

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