Complete Hypersurfaces with Constant Mean Curvature and Finite Total Curvature

P. Bérard (), M. do Carmo and W. Santos
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P. Bérard: Université Joseph Fourier- CNRS, Institut Fourier, UMR 5582
M. do Carmo: I.M.P.A.
W. Santos: Universidade Federal do Rio de Janeiro, Departamento de Matemática

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 349-366 from Springer

Abstract: Abstract The main result of this paper states that the traceless second fundamental tensor $${A}^{0}$$ of an n-dimensional complete hypersurface M, with constant mean curvature H and finite total curvature, $$\int{M}^{|A^0|^n{d\nu}}{M} 0,$$ any such surface must be compact.

Keywords: constant mean curvature; finite total curvature (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_26

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DOI: 10.1007/978-3-642-25588-5_26

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