调和旋量与度量的局部形变
微分几何
2016-03-03 v3
摘要
设(M,g)为紧致黎曼旋量流形。阿蒂亚-辛格指标定理给出了狄拉克算子核维数的下界。我们证明，通过在任意小的开集上改变黎曼度量g，可以达到这个下界。
引用
@article{arxiv.0903.4544,
title = {Harmonic spinors and local deformations of the metric},
author = {Bernd Ammann and Mattias Dahl and Emmanuel Humbert},
journal= {arXiv preprint arXiv:0903.4544},
year = {2016}
}
备注
minor changes, to appear in Mathematical Research Letters