A Curvature Normal Form for 4-Dimensional Kahler Manifolds

David L. Johnson
1980 Proceedings of the American Mathematical Society  
A curvature operator R is said to possess a normal form relative to some space of curvature operators 9 if R is determined uniquely in 9 by the critical points and critical values of the associated sectional curvature function. It is shown that any curvature operator of Kahler type in real dimension 4 with positive-definite Ricci curvature has a normal form relative to the space of all Kahler operators.
doi:10.2307/2043087 fatcat:vfoo2n3hjre6zauuo7pvtzf35a