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Isolation theorems of the Bochner curvature type tensors. (English) Zbl 1086.53063
An isolation theorem of the Bochner curvature tensor of a Kähler-Einstein manifold is obtained in the case when its $$L^{\frac{n}{2}}$$-norm is small. Moreover, an isolation theorem of the contact Bochner curvature tensor for a Sasakian manifold is also given. These results are proved with the help of the Weitzenböck formula.

MSC:
 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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