Three-dimensional aspect of surface and linear tensions

The exact concepts of the dividing surface related to the metrics of an arb itrarily curved surface layer and the transverse surface tension as the exc ess surface value with respect to the normal component of stress tensor wer e introduced. It was shown that, in the absence of external fields, there w ill be a dividing surface in a slightly curved surface layer. This dividing surface satisfies the zero value of transverse surface tension and coincid es with the tension surface. When external fields are present, the tensors of excess surface and linear stresses are three-dimensional parameters, who se dimensions generally cannot be diminished by the selection of the positi ons of dividing surfaces and lines. At the same time, the conditions of mec hanical equilibrium for curved surfaces can be formulated without using the transverse surface tension. The conditions of mechanical equilibrium at th e contact line include the transverse tension of a line and the normal comp onents of linear tension.