Isometric immersions with semi-definite second quadratic forms

Manfredo P. do Carmo and Elon Lima
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Manfredo P. do Carmo: University of California, Department of Mathematics
Elon Lima: Instituto de Matematica Pura e Aplicada

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 43-45 from Springer

Abstract: Abstract Let $$x: M\rightarrow\text R^{n+N}$$ be an isometric immersion of a compact, connected oriented n-dimensional riemannian manifold $$\text M$$ in the euclidean space $$\text R^{n+N}.$$

Keywords: Riemannian Manifold; Quadratic Form; Convex Body; Unit Normal Vector; Height Function (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-25588-5_4

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