Mohan BHUPAL

10290

A partial order on the group of contactomorphisms of \R2n+1 via generating functions

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.
Anahtar Kelimeler:

Turk. J. Math., 25, (2001), 125-136. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.

A partial order on the group of contactomorphisms of \R2n+1 via generating functions

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.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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