Minimality and stability of minimal hypersurfaces in IRn

Fang Hua Lin

doi:10.1017/S0004972700026484

Minimality and stability of minimal hypersurfaces in IRⁿ

Fang Hua Lin

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we show that the hypercone over S² × S⁴ is strictly area-minimizing in IR⁸ We also show the existence of smooth embedded stable hypersurfaces in IR⁸ which are not area-minimizing.

Original language	English (US)
Pages (from-to)	209-214
Number of pages	6
Journal	Bulletin of the Australian Mathematical Society
Volume	36
Issue number	2
DOIs	https://doi.org/10.1017/S0004972700026484
State	Published - Oct 1987

ASJC Scopus subject areas

General Mathematics

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title = "Minimality and stability of minimal hypersurfaces in IRn",

abstract = "In this paper we show that the hypercone over S2 × S4 is strictly area-minimizing in IR8 We also show the existence of smooth embedded stable hypersurfaces in IR8 which are not area-minimizing.",

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year = "1987",

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Minimality and stability of minimal hypersurfaces in IRⁿ

Abstract

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