I will start by discussing geometric mechanics of Randers-Finsler geodesics for point particles, introducing my original formulations of constraint mechanics, gauge-field absorption, and Jacobi lift, and its development along with my collaborators. Then I shall describe the extension of such principles to scalar field theory in Polyakov and Nambu-Goto action as a generalization of point particle mechanics. Afterwards, I shall talk about my work on minimal surfaces as a 2-dimensional generalization of geodesics, involving a physical interpretation and their deformation under external potentials as a problem in statics. Finally, I shall discuss my collaboration work in the study of minimal translation and factorable surfaces in R^3, and Bianchi-Cartan-Vranceanu (BCV) spaces.
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Meeting ID: 997 5926 0561