Dynamic Geometry on Time Scales

Download or read book Dynamic Geometry on Time Scales written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2021-12-22 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces plane curves on time scales. They are deducted the Frenet equations for plane and space curves. In the book is presented the basic theory of surfaces on time scales. They are defined tangent plane, \sigma_1 and \sigma_2 tangent planes, normal, \sigma_1 and \sigma_2 normals to a surface. They are introduced differentiable maps and differentials on surface. This book provides the first and second fundamental forms of surfaces on time scales. They are introduced minimal surfaces and geodesics on time scales. In the book are studied the covaraint derivatives on time scales, pseudo-spherical surfaces and \sigma_1, \sigma_2 manifolds on time scales.