Crasmareanu, Mircea Completeness of Hamiltonian vector fields in Jacobi and contact geometry. (English) Zbl 1240.53145 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 2, 23-36 (2011). Summary: The completeness of the Hamiltonian vector fields in the Jacobi manifolds is studied here providing a sufficient condition in terms of the topological properness for a function assuring a sublinear growth along the flow. In particular, the settings of Poisson, contact and cosymplectic geometries are presented while for similarities with the Poisson case, the Nambu-Poisson structures are included too. As applications, the completeness of contact-Hamiltonian vector fields arising in the geometrization of thermodynamics is discussed with examples. Cited in 1 Document MSC: 53D15 Almost contact and almost symplectic manifolds 53D17 Poisson manifolds; Poisson groupoids and algebroids Keywords:complete vector field; Jacobi structure; Hamiltonian vector field; first integral; proper function; Poisson (Nambu-Poisson) structure; contact structure; Reeb vector field; thermodynamics PDFBibTeX XMLCite \textit{M. Crasmareanu}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 73, No. 2, 23--36 (2011; Zbl 1240.53145)