A curvature normal form for -dimensional Kähler manifolds
David L. Johnson
Proc. Amer. Math. Soc. 79 (1980), 462-464
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Abstract: A curvature operator R is said to possess a normal form relative to some space of curvature operators if R is determined uniquely in by the critical points and critical values of the associated sectional curvature function. It is shown that any curvature operator of Kähler type in real dimension 4 with positive-definite Ricci curvature has a normal form relative to the space of all Kähler operators.
D. L. Johnson, A normal form for curvature, Ph.D. Thesis, M.I.T., 1977.
L. Johnson, Sectional curvature and curvature normal forms,
Michigan Math. J. 27 (1980), no. 3, 275–294. MR 584692
M. Singer and J.
A. Thorpe, The curvature of 4-dimensional Einstein spaces,
Global Analysis (Papers in Honor of K. Kodaira), Univ. Tokyo Press, Tokyo,
1969, pp. 355–365. MR 0256303
- D. L. Johnson, A normal form for curvature, Ph.D. Thesis, M.I.T., 1977.
- -, Sectional curvature and curvature normal forms, Michigan Math. J. (to appear). MR 584692 (82g:53073)
- I. M. Singer and J. A. Thorpe, The curvature of 4-dimensional Einstein space, Global Analysis, Univ. of Tokyo Press, Tokyo, 1969, pp. 355-365. MR 0256303 (41:959)
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