关于从曲面到复射影空间调和映射的指标
微分几何
2020-03-05 v3
摘要
我们估计某些线丛的全纯截面空间的维数，以给出从球面与环面到复射影空间的复各向同性调和映射指标的改进下界，并在某些情形下给出从高亏格曲面的相应下界。
引用
@article{arxiv.1901.11475,
title = {On the index of harmonic maps from surfaces to complex projective spaces},
author = {Joe Oliver},
journal= {arXiv preprint arXiv:1901.11475},
year = {2020}
}
备注
We have added examples for each genus for which our estimates for the index improve those of Eells and Wood