Curvature Estimates for Stable Minimal Hypersurfaces in R4 and R5

Author： Chen Q.  

Publisher： Springer Publishing Company

ISSN： 0232-704X

Source： Annals of Global Analysis and Geometry, Vol.19, Iss.2, 2001-04, pp. : 177-184

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Abstract

We obtain curvature estimates for certain stable minimal hypersurfaces in R^4 and R^5without using volume bounds. It follows that if M is a complete stable minimal hypersurface in R^4 or R^5, then M is a hyperplane when M intersects each extrinsic ball in, at most, N-components.

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