English

Gauss-Bonnet-Chern theorem and differential characters

Differential Geometry 2017-08-15 v5 Algebraic Topology

Abstract

In this paper we first prove that every differential character can be represented by differential form with singularities. Then we lift the Gauss-Bonnet-Chern theorem for vector bundles to differential characters.

Keywords

Cite

@article{arxiv.1502.01226,
  title  = {Gauss-Bonnet-Chern theorem and differential characters},
  author = {Man-Ho Ho},
  journal= {arXiv preprint arXiv:1502.01226},
  year   = {2017}
}

Comments

11 pages. Comments are welcome. Final version. To appear in Results in Mathematics

R2 v1 2026-06-22T08:22:04.530Z