drastically the integration space to a finite dimensional manifold. The g {\displaystyle g} path-integral in the partition function is a priori a sum over possible
definite contour multiple integral of an elementary meromorphic function is zero over an everywhere real analytic manifold on which it is analytic。”這被希爾伯特第十問題判定為矛盾而解決。
T'M} 和 T ″ M {\displaystyle T''M} ,兩者皆光滑分佈,且是弗比尼斯可積。兩個分佈的積分流形(英语:integralmanifold)皆為完全測地(英语:Totally geodesic)子流形,換言之,子流形的測地線皆為原流形的測地線。所以局部觀察 M {\displaystyle
potential theory Shiing Shen Chern, Minimal Sumanifolds in a Riemannian Manifold University of Kansas 1968 Bao, David Dai-Wai; Chern, Shiing-Shen; Shen