Geodesic
Automorphisms of symplectic and contact structures
Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 34-70.

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The survey contains main results of the theory of automorphisms of symplectic (almost symplectic) and contact (almost contact) structures and the original results of the authors of estimates of the maximal dimension of Lie groups of automorphisms of symplectic and contact structures that preserve an associated linear connection. 
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     author = {V. I. Panzhenskij and N. A. Tyapin},
     title = {Automorphisms of symplectic and contact structures},
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     volume = {96},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2015_96_a2/}
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V. I. Panzhenskij; N. A. Tyapin. Automorphisms of symplectic and contact structures. Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 34-70. http://geodesic.mathdoc.fr/item/CMA_2015_96_a2/