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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

Article Contents

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Vol.5 No.1

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1998, v.5 no.1, pp.55-63
Han, Dong-Soong
Lee, Eun-Hwi
Han,, D. , & Lee,, E. (1998). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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 <TEX>$G_m$</TEX>(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 <TEX>$S^{4n＋3}$</TEX> are the harmonic Gauss map of 3-dimensional distribution.

keywords
Gauss map, distribution, harmonic map, Hopf fibrations

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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