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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.5 No.1

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HARMONIC GAUSS MAP AND HOPF FIBRATIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1998, v.5 no.1, pp.55-63
Han, Dong-Soong (Department of Mathematics, JeonJu University)
Lee, Eun-Hwi (Department of Mathematics, JeonJu University)
Han, Dong-Soong, & Lee, Eun-Hwi. (1998). HARMONIC GAUSS MAP AND HOPF FIBRATIONS, 5(1), 55-63.

Abstract

A Gauss map of m-dimensional distribution on a Riemannian manifold M is called a harmonic Gauss map if it is a harmonic map from the manifold into its Grassmann bundle $G_m$(TM) of m-dimensional tangent subspace. We calculate the tension field of the Gauss map of m-dimensional distribution and especially show that the Hopf fibrations on $S^{4n＋3}$ are the harmonic Gauss map of 3-dimensional distribution.

keywords
Gauss map, distribution, harmonic map, Hopf fibrations

한국수학교육학회지시리즈B:순수및응용수학

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