@article{oai:tsukuba.repo.nii.ac.jp:00027523, author = {守屋, 克洋 and Moriya, Katsuhiro}, issue = {2}, journal = {Advances in applied clifford algebras}, month = {Jun}, note = {A condition for a closed one-form to be exact, the one-form having values in Euclidean space, on a compact surface without boundary, is given in the case where the surface has suitable differentiable automorphisms. Tori and hyperelliptic curves, with holomorphic automorphisms, are in this case. A local representation formula for surfaces in Euclidean space is then globalized. A condition for a local surface of constant mean curvature to be global, can be written using a harmonic Gauss map.}, pages = {433--448}, title = {A Condition for a Closed One-Form to Be Exact}, volume = {22}, year = {2012} }