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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1167–1174
(Mi smj2595)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj2595 https://www.mathnet.ru/eng/smj/v55/i5/p1167
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