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ON THE GAUSS MAP COMING FROM A FRAMING OF THE TANGENT BUNDLE OF A COMPACT MANIFOLD
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 Title & Authors
ON THE GAUSS MAP COMING FROM A FRAMING OF THE TANGENT BUNDLE OF A COMPACT MANIFOLD
Byun, Yanghyun; Cheong, Daewoong;
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 Abstract
Let W be a parallelizable compact oriented manifold of dimension with boundary . We define the so-called Gauss map using a framing of TW and show that the degree of is equal to Euler-Poincar number , regardless of the specific framing. As a special case, we get a Hopf theorem.
 Keywords
Gauss map;Hopf theorem;
 Language
English
 Cited by
 References
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2.
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J. Milnor, Morse Theory, Princeton University Press, 1963.

4.
J. Milnor, Lectures on the h-cobordism Theorem, Princeton Press, 1965.

5.
T. Sakkalis, On a theorem of H. Hopf, Internat. J. Math. Math. Sci. 13 (1990), no. 4, 813-816. crossref(new window)