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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Sprache Englisch ● Format PDF ● Seiten 132 ● ISBN 9789812386588 ● Dateigröße 3.7 MB ● Verlag World Scientific Publishing Company ● Ort Singapore ● Land SG ● Erscheinungsjahr 2001 ● herunterladbar 24 Monate ● Währung EUR ● ID 2445047 ● Kopierschutz Adobe DRM
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