On the Construction of p -Harmonic Morphisms and Conformal Actions

Author： Mo Xiao   Huang Li   Zhang Yuan  

Publisher： Springer Publishing Company

ISSN： 1439-8516

Source： Acta Mathematica Sinica, Vol.23, Iss.8, 2007-08, pp. : 1475-1484

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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 ℜ m {0} to ℜ n . By the well-known representation of Clifford algebras, we find an abundance of the new -harmonic morphism Φ : ℜ m {0} → ℜ n where m = 2kδ(n − 1).

Related content

A Theorem of Liouville Type for p-Harmonic Morphisms

By Choi Gundon   Yun Gabjin  

Geometriae Dedicata, Vol. 101, Iss. 1, 2003-10 ,pp. : 55-59 (5)

Springer Publishing Company

Access to resources Recommend Favorite

Foliated Manifolds and Conformal Heat Morphisms

By Kolsrud T.  

Annals of Global Analysis and Geometry, Vol. 21, Iss. 3, 2002-05 ,pp. : 241-267 (27)

Springer Publishing Company

Access to resources Recommend Favorite

A Theorem of Liouville Type for Harmonic Morphisms

By Choi G.   Yun G.  

Geometriae Dedicata, Vol. 84, Iss. 1-3, 2001-02 ,pp. : 179-182 (4)

Springer Publishing Company

Access to resources Recommend Favorite

Group Actions, k-Derivations, and Finite Morphisms

By Bonnet Philippe  

Communications in Algebra, Vol. 36, Iss. 10, 2008-10 ,pp. : 3944-3953 (10)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Poisson Morphisms and Reduced Affine Poisson Group Actions

By Yang Qi  

Acta Mathematica Sinica, Vol. 18, Iss. 2, 2002-04 ,pp. : 301-310 (10)

Springer Publishing Company

Access to resources Recommend Favorite