The Gauss-Bonnet theorem

被引：0
|
作者：
M. S. Raghunathan
机构：
[1] Indian Institute of Technology,National Centre for Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2015年 / 46卷
关键词：
Chern Weil theory; Euler characteristic;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note we give a proof of the Gauss-Bonnet theorem for Riemannian manifolds (of any dimension) using Morse theory.
引用
收藏
页码：893 / 900
页数：7
相关论文
共 50 条
  • [1] ON GAUSS-BONNET THEOREM
    Jaric, Jovo
    [J]. PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2012, 91 (105): : 59 - 62
  • [2] THE GAUSS-BONNET THEOREM
    Raghunathan, M. S.
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (06): : 893 - 900
  • [3] Cubes, cones and the Gauss-Bonnet theorem
    Ridley, J. N.
    [J]. MATHEMATICAL GAZETTE, 2021, 105 (562): : 148 - 153
  • [4] A discrete Gauss-Bonnet type theorem
    Knill, Oliver
    [J]. ELEMENTE DER MATHEMATIK, 2012, 67 (01) : 1 - 17
  • [5] GLOBAL VERSION OF GAUSS-BONNET THEOREM
    SVEC, A
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1975, 25 (04) : 638 - 644
  • [6] The Gauss-Bonnet theorem for Riemannian polyhedra
    Allendoerfer, Carl B.
    Weil, Andre
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1943, 53 (1-3) : 101 - 129
  • [7] GAUSS-BONNET THEOREM - PRELIMINARY REPORT
    TING, WL
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A595 - &
  • [8] Application of Gauss-Bonnet theorem to geodesy
    Kizilsu, G
    [J]. JOURNAL OF SURVEYING ENGINEERING-ASCE, 2002, 128 (03): : 125 - 135
  • [9] Historical development of the Gauss-Bonnet theorem
    Hung-Hsi Wu
    [J]. Science in China Series A: Mathematics, 2008, 51 : 777 - 784
  • [10] Historical development of the Gauss-Bonnet theorem
    Wu Hung-Hsi
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (04): : 777 - 784
12345