On Cotangent Bundles Hamiltonian Tubes Theorem and Its Some Applications in Reduction Theory
American Journal of Mathematical and Computer Modelling
Volume 4, Issue 2, June 2019, Pages: 31-35
Received: Jan. 20, 2019; Accepted: Apr. 25, 2019; Published: Jun. 18, 2019
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Abdel Radi Abdel Rahman Abdel Gadir, Department of Mathematics, Faculty of Education, Omdurman Islamic University, Omdurman, Sudan
Ragaa Mohammed Haj Ibrahim, Department of Mathematics, Faculty of Education, Elzaiem El Azhary University, Omdurman, Sudan
Nedal Hassan Elbadowi Eljaneid, Department of Mathematics, College of Science, Tabuk University, Tabuk, Saudi Arabia
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This paper aims to study the Cotangent Bundles Hamiltonian Tubes theorem and its applications in reduction theory. The mathematical analysis method used. And found some results; The theory of reduction of cotangent bundles developed playing an important role in solution of the general problem for reduction a single or bit type cotangent bundles for base manifolds, possibility study of Hamiltonian tubes when the simplistic manifolds is a cotangent bundles, in the concrete case of cotangent bundles there is a strong motivation coming from geometric mechanics and geometric quantization that makes it desirable to obtain explicit fiber local models.
Reduction, Cotangent Bundles, Hamiltonian Tubes, Applications
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Abdel Radi Abdel Rahman Abdel Gadir, Ragaa Mohammed Haj Ibrahim, Nedal Hassan Elbadowi Eljaneid, On Cotangent Bundles Hamiltonian Tubes Theorem and Its Some Applications in Reduction Theory, American Journal of Mathematical and Computer Modelling. Vol. 4, No. 2, 2019, pp. 31-35. doi: 10.11648/j.ajmcm.20190402.11
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