This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andre Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincare-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
Cumpărați această carte electronică și primiți încă 1 GRATUIT!
Limba Engleză ● Format PDF ● Pagini 132 ● ISBN 9789814490627 ● Editura World Scientific Publishing Company ● Publicat 2001 ● Descărcabil 3 ori ● Valută EUR ● ID 8098344 ● Protecție împotriva copiilor Adobe DRM
Necesită un cititor de ebook capabil de DRM