Applications of Square Roots of Diffeomorphisms
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
Received: 9 March 2019 / Revised: 8 April 2019 / Accepted: 9 April 2019 / Published: 11 April 2019
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In this paper, we prove that on any contact manifold
there exists an arbitrary
-small contactomorphism which does not admit a square root. In particular, there exists an arbitrary
-small contactomorphism which is not “autonomous”. This paper is the first step to study the topology of
. As an application, we also prove a similar result for the diffeomorphism group
for any smooth manifold M
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MDPI and ACS Style
Sugimoto, Y. Applications of Square Roots of Diffeomorphisms. Axioms 2019, 8, 43.
Sugimoto Y. Applications of Square Roots of Diffeomorphisms. Axioms. 2019; 8(2):43.
Sugimoto, Yoshihiro. 2019. "Applications of Square Roots of Diffeomorphisms." Axioms 8, no. 2: 43.
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