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

Li Jiayu and Zhu Xiangrong

Vol. 260 (2012), No. 1, 181–195

DOI: 10.2140/pjm.2012.260.181

Abstract

Let M be a closed Riemannian surface and u_n a sequence of maps from M to Riemannian manifold N satisfying

for some p > 1, where τ(u_n) is the tension field of the mapping u_n.

For a general target manifold N, if p ≥, we prove the energy identity and the neckless property during blowing up.

Keywords

energy identity, tension field, neckless

Mathematical Subject Classification 2010

Primary: 58E20

Milestones

Received: 1 October 2011

Revised: 3 May 2012

Accepted: 6 August 2012

Published: 11 October 2012