solidot新版网站常见问题,请点击这里查看。

CR-Analogue of Siu-$\partial\bar{\partial}$-formula and Applications to Rigidity problem for pseudo-Hermitian harmonic maps. (arXiv:1709.09395v1 [math.CV])

来源于:arXiv
We give several versions of Siu's $\partial\bar{\partial}$-formula for maps from a strictly pseudoconvex pseudo-Hermitian manifold $(M^{2m+1}, \theta)$ into a K\"ahler manifold $(N^n, g)$. We also define and study the notion of pseudo-Hermitian harmonicity for maps from $M$ into $N$. In particular, we prove a CR version of Siu Rigidity Theorem for pseudo-Hermitian harmonic maps from a pseudo-Hermitian manifold with vanishing Webster torsion into a K\"ahler manifold having strongly negative curvature. 查看全文>>