- Turkish Journal of Mathematics
- Vol: 25 Issue: 1
- A partial order on the group of contactomorphisms of \R2n+1 via generating functions
A partial order on the group of contactomorphisms of \R2n+1 via generating functions
Authors : Mohan Bhupal
Pages : 125-136
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this note we construct a nontrivial partial order on the identity component of the group of compactly supported contactomorphisms of \R2n+1 using the method of generating functions. Our construction is in the framework of the theory developed by Viterbo in the paper \cite{V} wherein, among other things, he showed how one could use generating functions to construct a partial order on the group of compactly supported Hamiltonian symplectomorphisms of \R2n.Keywords : Turk. J. Math., 25, (2001), 125-136. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.