关于Gronwall猜想
On Gronwall conjecture
摘要：
Gronwall猜想指出，一个平面3-网，其中承认超过一个不同的线性化是局部等价的代数网。对于腹板曲率在一点处为零的平面3-腹板类，我们给出了该猜想的部分肯定回答。腹板曲率的三阶射流的微分关系提供了唯一线性化的显式判据。
英文摘要：
Gronwall conjecture states that a planar 3-web which admits more than one distinct linearization is locally equivalent to an algebraic web. We give a partial answer to the conjecture in the affirmative for the class of planar 3-webs with the web curvature that vanishes to order three at a point. The differential relation on the third order jet of web curvature provides an explicit criterion for unique linearization.
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