TITLE

# On the Construction of p-Harmonic Morphisms and Conformal Actions

AUTHOR(S)
Xiao Huan Mo; Li Bing Huang; Yuan Zheng Zhang
PUB. DATE
August 2007
SOURCE
Acta Mathematica Sinica;Aug2007, Vol. 23 Issue 8, p1475
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
We produce p-harmonic morphisms by conformal foliations and Clifford systems. First, we give a useful criterion for a foliation on an m-dimensional Riemannian manifold locally generated by conformal fields to produce p-harmonic morphisms. By using this criterion we manufacture conformal foliations, with codimension not equal to p, which are locally the fibres of p-harmonic morphisms. Then we give a new approach for the construction of p-harmonic morphisms from â„ m \{0} to â„ n . By the well-known representation of Clifford algebras, we find an abundance of the new $$\frac{2} {3}{\left( {m + 1} \right)}$$ -harmonic morphism Ï• : â„ m \{0} â†’ â„ n where m = 2 kÎ´( n âˆ’ 1).
ACCESSION #
25684498

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