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Oct 18, 2020 at 20:50 comment added Zack The short answer is yes, at least for contact type almost complex structures. First you rescale to get $H_2 > H_1$ near infinity and interpolate with $H_s$. Then you prove that for $u$ a disk contributing to the continuation map, $H_s\circ u$ satisfies a maximum principle.
Oct 15, 2020 at 1:39 history asked ChiHong Chow CC BY-SA 4.0