TY - JOUR
T1 - Sharp estimates for fully bubbling solutions of a SU(3) Toda system
AU - Lin, Chang Shou
AU - Wei, Juncheng
AU - Zhao, Chunyi
PY - 2012/12
Y1 - 2012/12
N2 - In this paper, we obtain sharp estimates of fully bubbling solutions of SU(3) Toda system in a compact Riemann surface. In geometry, the SU(n + 1) Toda system is related to holomorphic curves, harmonic maps or harmonic sequences of the Riemann surface to ℂℙn. In order to compute the Leray-Schcuder degree for the Toda system, we have to obtain accurate approximations of the bubbling solutions. Our main goals in this paper are (i) to obtain a sharp convergence rate, (ii) to completely determine the locations, and (iii) to derive the ∂z2 condition, a unexpected and important geometric constraint.
AB - In this paper, we obtain sharp estimates of fully bubbling solutions of SU(3) Toda system in a compact Riemann surface. In geometry, the SU(n + 1) Toda system is related to holomorphic curves, harmonic maps or harmonic sequences of the Riemann surface to ℂℙn. In order to compute the Leray-Schcuder degree for the Toda system, we have to obtain accurate approximations of the bubbling solutions. Our main goals in this paper are (i) to obtain a sharp convergence rate, (ii) to completely determine the locations, and (iii) to derive the ∂z2 condition, a unexpected and important geometric constraint.
UR - https://www.scopus.com/pages/publications/84870622519
U2 - 10.1007/s00039-012-0193-4
DO - 10.1007/s00039-012-0193-4
M3 - 文章
AN - SCOPUS:84870622519
SN - 1016-443X
VL - 22
SP - 1591
EP - 1635
JO - Geometric and Functional Analysis
JF - Geometric and Functional Analysis
IS - 6
ER -