Open AccessSome Integral Formulas for the (r+ 1)th Mean Curvature of a Closed Hypersurface
Author(s) -
Akram Mohammadpouri,
S. M. B. Kashani
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/784028
Subject(s) - mathematics , hypersurface , matrix (chemical analysis) , combinatorics , operator (biology) , mathematical analysis , chemistry , biochemistry , repressor , chromatography , transcription factor , gene
By using the operator , we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the (+1)th mean curvature for a closed hypersurface of the Euclidean space in terms of rth order
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