正则拉格朗日量的H-原理
H-principles for regular Lagrangians
摘要：
我们证明了一个存在的h-原则，经常拉格朗日与勒让德边界在任意的Weinstein域的尺寸至少为6，这扩展了以前的结果Eliashberg，Ganatra，和作者的拉格朗日在灵活的域。此外，我们表明，所有的正规拉格朗日来自我们的建设，并描述了一些相关的分解结果。我们还证明了一个正规版本的Eliashberg和Murphy的h-原则的拉格朗日帽松散的负端。作为应用，我们给出了标准Weinstein球中无穷多个正则拉格朗日圆的一个新构造。
英文摘要：
We prove an existence h-principle for regular Lagrangians with Legendrian boundary in arbitrary Weinstein domains of dimension at least six; this extends a previous result of Eliashberg, Ganatra, and the author for Lagrangians in flexible domains. Furthermore, we show that all regular Lagrangians come from our construction and describe some related decomposition results. We also prove a regular version of Eliashberg and Murphy's h-principle for Lagrangian caps with loose negative end. As an application, we give a new construction of infinitely many regular Lagrangian disks in the standard Weinstein ball.
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