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We investigate F-traceless component of the conformal cur-vature tensor dened by (3.6) in K¨ahler manifolds of dimension 4,and show that the F-traceless component is invariant under concircu-lar change. In particular, we determine K¨ahler manifolds with parallelF-traceless component and improve some theorems, provided in the pre-vious paper ([2]), which are concerned with the traceless component of theconformal curvature tensor and the spectrum of the Laplacian acting onp (0 p 2)-forms on the manifold by using the F-traceless component.
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참고문헌 (13)
참고문헌 신청
/ 1965 / Dierential geometry on complex and almost complex spaces InternationalSeries of Monographs in Pure and Applied Mathematics ya : 806 ~
/ 1970 / Curvature and the fundamental solution of the heat operator : 3 ~ 4
/ 1971 / Lec-ture Notes in Mathematics 194
/ 1973 / Eigenvalues of the Laplacian of Riemannian manifolds tan
/ 1979 / Eigenvalues of the Laplacian of Sasakian manifolds
/ 1970 / Curvature and the fundamental solution of the heat operator : 3 ~ 4
/ 1971 / Lec-ture Notes in Mathematics 194
/ 1973 / Eigenvalues of the Laplacian of Riemannian manifolds tan
/ 1979 / Eigenvalues of the Laplacian of Sasakian manifolds
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