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On the gauss map coming from a framing of the tangent bundle of a compact manifold
- Authors
- Byun, Yanghyun; Cheong, Daewoong
- Issue Date
- Jan-2013
- Keywords
- Gauss map; Hopf theorem
- Citation
- Communications of the Korean Mathematical Society, v.28, no.1, pp.183 - 189
- Indexed
- SCOPUS
KCI
- Journal Title
- Communications of the Korean Mathematical Society
- Volume
- 28
- Number
- 1
- Start Page
- 183
- End Page
- 189
- ISSN
- 1225-1763
- Abstract
- Let W be a parallelizable compact oriented manifold of di-mension n with boundary ∂W = M. We define the so-called Gauss map f: M →Sn-1 using a framing of TW and show that the degree of f is equal to Euler-Poincaré number χ(W), regardless of the specific framing. As a special case, we get a Hopf theorem.
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Related Researcher
- Byun, Yang hyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)