ABSTRACT

When we refer the space to a surface, there are always three mutually apolar quadratics that can play the part of spin parameters, and these are generated by the variations of curvature of the surface. We can define an infinitesimal deformation, induced exclusively by the variation of curvature parameters. This infinitesimal deformation is then expressed by an addition to the second fundamental form. Surface tension is a differential 2-form. It can be the component of a vector, or even the magnitude of a vector, depending on the measure of the deformation of surface we manage to define. The characterization of a local flux of forces is closely related to a plane centric affine geometry. That is to say that, if one insists in characterizing a statistics of the contact forces on the surface of a certain nucleon, for instance, one has to consider the centric affine geometry in the tangent plane.