Abstract
An isolation theorem of the Bochner curvature tensor of a Kähler-Einstein manifold is given, when its $L^{n/2}$-norm is small. Similarly an isolation theorem of the contact Bochner curvature tensor for a Sasakian manifold is obtained. Those theorems are derived from the Weitzenböck formula which gives non-linearity constraint on the Bochner curvature tensors.
Citation
Mitsuhiro ITOH. Daisuke KOBAYASHI. "Isolation Theorems of the Bochner Curvature Type Tensors." Tokyo J. Math. 27 (1) 227 - 237, June 2004. https://doi.org/10.3836/tjm/1244208487
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