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New Aspects of Dynamic Geometry on Time Scales
Last modified: 2023-05-14
Abstract
This lecture is devoted on some recent developments in the area of dynamic geometry on time scales. It is introduced the covariant differentiation on time scales and they are deducted some properties.We define manifold, open sets and differentiable maps on manifolds on time scales. They are introduced tangent vector, vector field, Lie brackets and Riemannian connection on time scales. It is deducted the Koszul formula and then they are given expressions of the Christoffel coefficients. The results are provided with applications in the area of dynamic equations on time scales.