Some Integral Formulas for the ( r + 1)th Mean Curvature of a Closed Hypersurface

Akram Mohammadpouri and S. M. B. Kashani

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-15

Abstract:

By using the operator ð ¿ ð ‘Ÿ , we define the notions of r th order and r th type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the ( ð ‘Ÿ + 1 )th mean curvature for a closed hypersurface of the Euclidean space in terms of rth order.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:784028

DOI: 10.1155/2012/784028

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