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Some remarks on positive scalar and Gauss-Kronecker curvature hypersurfaces of $${\mathbb R}^{n+1}$$ and $${\mathbb H}^{n+1}$$. (English) Zbl 0878.53007
Summary: We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic $$n$$-dimensional space and we obtain removable singularities theorems.
##### MSC:
 53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related $$n$$-spaces
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##### References:
 [1] H. ALENCAR, M. DO CARMO, A.G. COLARES, Stable hypersurfaces with constant scalar curvature, Math. Z., 213 (1993), 117-131. · Zbl 0792.53057 [2] M.L. LEITE, Rotational hypersurfaces of space forms with constant scalar curvature, Manuscripta Math., 67 (1990), 285-304. · Zbl 0695.53040 [3] B. NELLI, Constant curvature hypersurfaces of hyperbolic space, PhD Thesis, Université de Paris VII, 1995. · Zbl 0831.53039 [4] B. NELLI, R. SA EARP, Some properties of surfaces of prescribed mean curvature in ℍn+1, Bull. Soc. Math., 6 (1996), 537-553. · Zbl 0872.53008 [5] B. NELLI, B. SEMMLER, Some remarks on compact constant mean curvature hypersurfaces in a halfspace of ℍn+1, to appear in J. Geometry. · Zbl 0981.53049 [6] B. NELLI, J. SPRUCK, Existence and uniqueness of mean curvature hypersurface, Preprint. · Zbl 0936.35069 [7] H. ROSENBERG, Hypersurfaces of constant curvature in space forms, Bull. Soc. Math., 2e série, 117 (1993), 211-239. · Zbl 0787.53046 [8] H. ROSENBERG, R. SA EARP, Some remarks on surfaces of prescribed mean curvature, Pitman Monographs and Surveys in Pure and Applied Mathematics 52 (1991), 123-148. · Zbl 0773.53002 [9] M. SPIVAK, A comprehensive introduction to differential geometry IV, Publish or Perish Inc., Berkley, 1979. · Zbl 0439.53004
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