Energy identity for the maps from a surface with tension field bounded in L^p

2012/05/14 by Li Jiayu, Jiayu, Li, Zhu Xiangrong +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1205.2978

arxiv created 2012/05/14 · arxiv updated 2012/05/15

Abstract

Let M be a closed Riemannian surface and u_n a sequence of maps from M to Riemannian manifold N satisfying sup_n(‖∇ u_n‖_L²(M)+‖τ(u_n)‖_L^p(M))≤ Λ for some p>1, where τ(u_n) is the tension field of the mapping u_n. For the general target manifold N, if p≥ \frac 65, we prove the energy identity and neckless during blowing up.

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