대한수학회지 (Journal of the Korean Mathematical Society)

  • 제56권3호
  • /
  • Pages.669-688
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  • 2019
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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LIOUVILLE THEOREMS FOR GENERALIZED SYMPHONIC MAPS

  • Feng, Shuxiang (School of Mathematics and Statistics Southwest University) ;
  • Han, Yingbo (School of Mathematics and Statistics Xinyang Normal University)
  • 투고 : 2018.05.03
  • 심사 : 2018.10.12
  • 발행 : 2019.05.01
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초록

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.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

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