On the smoothness of $C^1$-contact maps in $C^\infty$-rigid Carnot groups

نویسندگان

چکیده

We show that in any $C^\infty$-rigid Carnot group the sense of Ottazzi - Warhurst, $C^1$-contact maps are automatically smooth.

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ژورنال

عنوان ژورنال: Indiana University Mathematics Journal

سال: 2022

ISSN: ['1943-5258', '0022-2518', '1943-5266']

DOI: https://doi.org/10.1512/iumj.2022.71.9205