M. V. Neshchadim, “The mean integral curvature and infinitesimal deformations of a surface in a three-dimensional Riemannian space”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 5,Pages <nobr>1167

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

M. V. Neshchadim^ab

^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.

UDC: 514.772

Received: 18.11.2013