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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1167–1174 (Mi smj2595)  

The mean integral curvature and infinitesimal deformations of a surface in a three-dimensional Riemannian space

M. V. Neshchadimab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
References:
Abstract: We find a formula for the derivative of the mean integral curvature of a surface in a three-dimensional Riemannian space with respect to infinitesimal deformations.
Keywords: mean integral curvature, infinitesimal deformation.
Received: 18.11.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 5, Pages 954–960
DOI: https://doi.org/10.1134/S0037446614050139
Bibliographic databases:
Document Type: Article
UDC: 514.772
Language: Russian
Citation: M. V. Neshchadim, “The mean integral curvature and infinitesimal deformations of a surface in a three-dimensional Riemannian space”, Sibirsk. Mat. Zh., 55:5 (2014), 1167–1174; Siberian Math. J., 55:5 (2014), 954–960
Citation in format AMSBIB
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