• 제목/요약/키워드: the generalized symphonic map

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LIOUVILLE THEOREMS FOR GENERALIZED SYMPHONIC MAPS

  • Feng, Shuxiang;Han, Yingbo
    • 대한수학회지
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    • 제56권3호
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    • pp.669-688
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    • 2019
  • In this paper, we introduce the notion of the generalized symphonic map with respect to the functional ${\Phi}_{\varepsilon}$. Then we use the stress-energy tensor to obtain some monotonicity formulas and some Liouville results for these maps. We also obtain some Liouville type results by assuming some conditions on the asymptotic behavior of the maps at infinity.