Contact geometry of second order. II. (English) Zbl 1457.53057

Shoda, Toshihiro (ed.) et al., Differential geometry and Tanaka theory. Differential system and hypersurface theory. Proceedings of the international conference, RIMS, Kyoto University, Japan, January, 24–28, 2011. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 82, 99-195 (2019).
In this paper, the two step reduction procedure in contact geometry of second order is investigated. This work represents a natural continuation of a previous research paper [the author, Abel Symp. 5, 335–386 (2009; Zbl 1187.58003)]. Moreover, as a consequence of the mathematical developments presented in this paper, several examples of parabolic geometries are analyzed.
For the entire collection see [Zbl 1437.53042].


53D10 Contact manifolds (general theory)
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)


Zbl 1187.58003
Full Text: DOI Euclid Link


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