Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A Note on the Chern Classes

  • Lee, K.A. (Dept. of Mathematics, Chonbuk National University) ;
  • Lee, Ho.J. (Dept. of Mathematics, Chonbuk National University) ;
  • Lee, He.J. (Dept. of Mathematics, Chonbuk National University) ;
  • Chun, D.S. (Dept. of Mathematics, Chonbuk National University) ;
  • Jeon, W.K. (Dept. of Mathematics, Chonbuk National University) ;
  • Kim, Y.W. (Dept. of Mathematics, Hanyang University) ;
  • Kim, I.S. (Dept. of Mathematics, Chonbuk National University)
  • Received : 1987.05.14
  • Accepted : 1987.06.30
  • Published : 1987.08.01
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Abstract

It is well known that there are two ways to define Chern classes of complex vector bundles. One gives the definition of Chern classes by the five axioms ([2]. [3], [4]). and an other defines Chern classes with the associated projective space bundle of a given bundle ([1]. [5]). The purpose of this paper is to describe the latter way in detail and to give new proofs of that our Chern classes satisfy the five axioms with respect to Chern classes (for example Theorem 5).

Keywords

Acknowledgement

Supported by : Ministry of Education