Lectures on Differential Geometry (Ems Series of Lectures in Mathematics)
English | 219 pages | ISBN-10: 3037190507 | PDF | 122.78 MB
Differential geometry studies geometrical objects using analytical methods. Like modern analysis itself, differential geometry originates in classical mechanics. For instance, geodesics and minimal surfaces are defined via variational principles and the curvature of a curve is easily interpreted as the acceleration with respect to the path length parameter. Modern differential geometry in its turn strongly contributed to modern physics.