The Partial Differential Equations of Surface Theory

This chapter contains sections titled: Introduction The Gauss equations The Christoffel symbols evaluated The Weingarten equations Some observations about the partial differential equations Uniqueness of a surface for given giκ and Liκ The theorema egregium of Gauss How Gauss may have hit upon his theorem Compatibility conditions in general Codazzi-Mainardi equations The Gauss theorema egregium again Existence of a surface with given giκ and Liκ An application of the general theory to a problem in the large