Higgs bundles over foliation manifolds. (English) Zbl 1466.53032
Summary: In this paper, we consider the stability, semi-stability and canonical metric structures on transverse Higgs bundles over a class of foliation manifolds, also a transversal Bogomolov inequality is obtained.
MSC:
| 53C07 | Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) |
| 53C12 | Foliations (differential geometric aspects) |
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 58E15 | Variational problems concerning extremal problems in several variables; Yang-Mills functionals |
Keywords:
foliation manifold; Higgs bundle; (approximate) transverse Hermitian-Einstein; transversal Bogomolov inequalityReferences:
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