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 : 0000-00-00

Article Type : Research Paper

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 Turk J Math, vol 25, iss 1