The Index Theorem from Gauss-Bonnet and Riemann-Roch Theorem

碩士 === 國立中央大學 === 數學研究所 === 98 === In this thesis, we prove two important theorems in geometry. In chapter one, we state the Gauss-Bonnet theorem on even dimensional manifold and give the detail of the proof of two dimensional case. The proof is based on the paper "A simple intrinsic proof of t...

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Bibliographic Details
Main Authors: Yu-Chan Chang, 張育展
Other Authors: Hung-Lin Chiu
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/92526436832807455591