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 André 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 Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
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Dil İngilizce ● Biçim PDF ● Sayfalar 132 ● ISBN 9789812386588 ● Dosya boyutu 3.7 MB ● Yayımcı World Scientific Publishing Company ● Kent Singapore ● Ülke SG ● Yayınlanan 2001 ● İndirilebilir 24 aylar ● Döviz EUR ● Kimlik 2445047 ● Kopya koruma Adobe DRM
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