https://math.franklin.uga.edu/sites/default/files/inline-files/Shif… Image transcription text15. Suppose x and y are two parametrizations

https://math.franklin.uga.edu/sites/default/files/inline-files/Shif… Image transcription text15. Suppose x and y are two parametrizations of a surface M near P. Say x(uo, VO) = P = y(so, to). Prove thatSpan(Xu, Xv) = Span(ys, yt) (where the partial derivatives are all evaluated at the obvious points). (Hint: f = xLoy gives a C’ map from an open set around (so, to) to an open set around (uo, vo). Apply the chai… Show more… Show more https://math.franklin.uga.edu/sites/default/files/inline-files/ShifrinDiffGeo.pdf  Math Geometry MATH MISC Share QuestionEmailCopy link