【摘要】 本文使用变分方法证明了三维标准切触球的标准勒让德扭结 ,至少存在一个弦连结适应于标准切触结构的任何选定切触形式 ,这部分证明了著名的阿诺德弦猜想更多还原

【Abstract】 In this article,we use the variational method to prove that for the standard Legendrian knot on the standard contact three sphere,there exists at least one chord connecting it for any chosen contact form adapted to the standard contact structure which partially proves the famous Arnold’s chord conjecture.更多还原