Liouville theorems for generalized symphonic maps
J. Korean Math. Soc.
Published online 2019 Feb 01
Shuxiang Feng, and Yingbo Han
Southwest University, Xinyang Normal Universitty
Abstract : 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.
Keywords : the generalized symphonic map; monotonicity formula; Liouville theorems
MSC numbers : 35B53; 58E20; 53C21
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