Minimal immersions of spheres into spheres

Manfredo P. do Carmo and Nolan R. Wallach
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Manfredo P. do Carmo: University Of California
Nolan R. Wallach: University Of California

A chapter in Manfredo P. do Carmo – Selected Papers, 2012, pp 93-112 from Springer

Abstract: Abstract In this paper we will consider isometric minimal immersions $$\psi:{\text S}^{n}_{k}\rightarrow {\text S}^{l}_{1}\subset {\text R}^{l+1}$$ of the n-sphere $${\text S}^{n}_{k}$$ with constant sectional curvature K into the unit sphere $${\text S}^{l}_{1}$$ of the euclidean space $${\text R}^{l+1}.$$

Keywords: Riemannian Manifold; Convex Body; Closed Subgroup; Isometric Immersion; Minimal Immersion (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_8

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DOI: 10.1007/978-3-642-25588-5_8

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