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

Yuanqi Wang

paper

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

arXiv:1603.00986

Abstract

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

4 pages. Comments are welcome

References in corpus (2)

Deformation of singular connections I: $G_{2} -$ instantons with point singularities
$C^{2, α}$ -estimate for Monge-Ampere equations with Hölder-continuous right hand side

Local solution to the G2​−monopole equation with prescribed tangent cone and G2​−structure

Abstract

References in corpus (2)

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