Riemannian Geometry includes results discovered during the last few years, which have previously only been available through research papers. It contains an elementary account of twistor spaces, of interest to applied mathematicians and physicists, and the final chapter gives the only account availa[...]
Suitable for advanced undergraduate and graduate students of mathematics, physics, and engineering, this text begins with an exploration of the classical theory of curves and surfaces that employs vector methods. Subsequent topics include the basic theory of tensor algebra, tensor calculus, the calc[...]