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Next, we investigate critical maps of the partial\n  energy functionals, which are referred to as $\\overline{\\partial }_{b}$-harmonic maps and $\\partial _{b}$-harmonic maps. 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Next, we investigate critical maps of the partial\n  energy functionals, which are referred to as $\\overline{\\partial }_{b}$-harmonic maps and $\\partial _{b}$-harmonic maps. 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