New geometrical aspects of constrained system

Abstract

Bağıl sistemler yeni bir geometrik bakışla incelendi ve integrallenebilir ge ometrilerin yüzey terimlerinin önemi vurgulandı. Klasik mekaniğin geometrik formülasyonu ve simplektik geometri kısaca sunuldu. Anahtar kelimeler: Bağıl sistemler, yüzey terimi, geodesic denklemleri, Hamilton- Jacobi formülasyonu, Hamilton mekaniği.

New aspects of the constrained systems were reported in this work. The im portance of the surface terms in finding integrable geometry was pointed out. The geometrical formulation of classical mechanics and the role of the symplectic geometry are briefly presented. Keywords: Constrained systems, surface term, geodesic equations, Hamilton- Jacobi formalism, symplectic geometry, Hamiltonian mechanics. IV