On G. Bol's proof of Carathéodory's conjecture†
On G. Bol's proof of Carathéodory's conjecture†
复制标题
关于 G. Bol 对卡拉西奥多里猜想的证明†
DOI：
10.1002/cpa.3160120207
复制
发表时间：
1959
影响因子：
3
通讯作者：
T. Klotz
中科院分区：
文献类型：
--
作者：
T. Klotz
结论....... 38参考书目....... 39-ii-On G-. Caratheodory的Bols证明 * 一个猜想简介Caratheodory证明了在每一个封闭的严格凸曲面P上至少存在两个脐点，这是足够光滑的 * 这个猜想从未被完整地证明过，但它已经被证明了两次解析曲面的情况下，第一次由H。汉堡包，[H]，后来由G。波尔，[B]
Conclusion.............................................. 38Bibliography........................................ 39-ii-On G-. Bols Proof of Caratheodory* a ConjectureIntroductionCaratheodory conjectured that there exist at least two umbilic points on every closed, strictly convex surface P which is sufficiently smooth* This conjecture has never been proved in its entirety, but it has been proved twice for the case of analytic surfaces, first by H. Hamburger,[H], and later by G. Bol,[B]