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On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields

On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields

Motivated by Poincar\'e's orbits going to infinity in the (restricted) three-body (see [26] and [6]), we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a $b$-contact form. This is done by using the singular counterpart [3] of Etnyre--Ghrist's contact/Beltrami correspondence [9], and genericity …