Regularity for Harmonic - Einstein Equation

Abstract

We establish a regularity theorem for the Harmonic - Einstein Equation. As a byproduct of the local regularity, we also have a compactness theorem on Harmonic - Einstein equation. The method is mainly the Moser iteration technique which has been used and developed by \cite{BKN89}, \cite{Tian90}, \cite{TV05a} and others.

24 pages; MSC classification: Differential Geometry

References in corpus (2)

• The compactness result for Kähler Ricci solitons
• Obstruction-flat asymptotically locally Euclidean metrics