关于Bäcklund定理在曲面的affine differential geometry中的类似
On analogues of Bäcklund theorem in affine differential geometry of surfaces
摘要：
我们回顾著名的陈-廷定理有关仿射极小曲面。接下来，我们制定一些补充（横截领域不一定平行）仿射Bäcklund定理。我们描述了一些几何条件，这意味着两个诱导连接的局部对称性。给出了仿射基本形式成比例的若干充要条件。
英文摘要：
We recall the well-known Chern-Terng theorem concerning affine minimal surfaces. Next we formulate some complementary (with transversal fields necessarily not parallel) affine Bäcklund theorem. We describe some geometrical conditions which imply the local symmetry of both induced connections. We give also some necessary and sufficient conditions under which the affine fundamental forms are proportional.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
