English

A multiplicity estimate for the Jacobi operator of a nonflat Yang-Mills field over $\mathbb{S}^m$

Differential Geometry 2022-09-19 v1

Abstract

Here we provide refinements of the stability results of Simons and Xin, concerning the stability of Yang-Mills fields and harmonic maps respectively. The result also implies the earlier Morse index estimates for both cases.

Keywords

Cite

@article{arxiv.2209.08090,
  title  = {A multiplicity estimate for the Jacobi operator of a nonflat Yang-Mills field over $\mathbb{S}^m$},
  author = {Lei Ni},
  journal= {arXiv preprint arXiv:2209.08090},
  year   = {2022}
}