Spherical Images of Convex Surfaces

M. do Carmo and B. Lawson
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M. do Carmo: Instituto de Matemática Pura e Aplicada (IMPA)
B. Lawson: Instituto de Matemática Pura e Aplicada (IMPA)

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 113-114 from Springer

Abstract: Abstract Let $$\rm x:{\text M}^{n}\rightarrow \,\,{\text R}^{n+1}$$ be an isometric immersion of an orientable, complete riemannian manifold $${\text M}^{n}$$ (superscripts denote dimension) into the euclidean space $${\text R}^{n+1}$$ and let $$ \upsilon:{\text M}^{n}\rightarrow \,\,{\text S}^{n}\subset{\text R}^{n+1}$$ be the normal (Gauss) map of x.

Keywords: Convex surface; Gauss map; spherical image (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-25588-5_9

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