Regularity for Harmonic - Einstein Equation

Details Regularity for Harmonic - Einstein Equation Regularity for Harmonic - Einstein Equation

2011-11-28

arxiv.org/abs/1111.6505v1

Mathematics

Differential Geometry

24 pages; MSC classification: Differential Geometry

Scientific paper

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.

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