English

Local solution to the $G_{2}-$monopole equation with prescribed tangent cone and $G_{2}-$structure

Differential Geometry 2016-03-04 v1 Mathematical Physics Analysis of PDEs math.MP

Abstract

For any locally defined G2G_{2}-structure and Hermitian-Yang-Mills connection on S6S^{6}, the G2G_{2}-monopole equation always admits a local solution that is asymptotic to the HYM-connection.

Keywords

Cite

@article{arxiv.1603.00986,
  title  = {Local solution to the $G_{2}-$monopole equation with prescribed tangent cone and $G_{2}-$structure},
  author = {Yuanqi Wang},
  journal= {arXiv preprint arXiv:1603.00986},
  year   = {2016}
}

Comments

4 pages. Comments are welcome