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http://dx.doi.org/10.4134/CKMS.2015.30.4.471

STABLE f-HARMONIC MAPS ON SPHERE  

CHERIF, AHMED MOHAMMED (Department of Mathematics Mascara University)
DJAA, MUSTAPHA (Department of Mathematics Relizane University)
ZEGGA, KADDOUR (Department of Mathematics Mascara University)
Publication Information
Communications of the Korean Mathematical Society / v.30, no.4, 2015 , pp. 471-479 More about this Journal
Abstract
In this paper, we prove that any stable f-harmonic map ${\psi}$ from ${\mathbb{S}}^2$ to N is a holomorphic or anti-holomorphic map, where N is a $K{\ddot{a}}hlerian$ manifold with non-positive holomorphic bisectional curvature and f is a smooth positive function on the sphere ${\mathbb{S}}^2$with Hess $f{\leq}0$. We also prove that any stable f-harmonic map ${\psi}$ from sphere ${\mathbb{S}}^n$ (n > 2) to Riemannian manifold N is constant.
Keywords
f-harmonic maps; F-harmonic maps; $K{\ddot{a}}hlerian$ manifold; Bisectional curvature;
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Times Cited By KSCI : 1  (Citation Analysis)
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