Harmonic Maps and Torse-Forming Vector Fields

Authors : Ahmed MOHAMMED CHERİF, Mustapha DJAA

Pages : 87-93

Doi:10.36890/iejg.555344

View : 35 | Download : 12

Publication Date : 2020-01-30

Article Type : Research Paper

Abstract :In this paper, we prove that any harmonic map from a compact orientable Riemannian manifold without boundary insert ignore into journalissuearticles values(or from complete Riemannian manifold); insert ignore into journalissuearticles values(M, g); to Riemannian manifold insert ignore into journalissuearticles values(N, h); is necessarily constant, with insert ignore into journalissuearticles values(N, h); admitting a torse-forming vector field satisfying some condition.
Keywords : Harmonic maps, bi harmonic maps, torse forming vector fields

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