Isolation Theorems of the Bochner Curvature Type Tensors
Isolation Theorems of the Bochner Curvature Type Tensors
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DOI：
10.3836/tjm/1244208487
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发表时间：
2004-06
影响因子：
0.6
通讯作者：
M. Itoh;Daisuke Kobayashi
中科院分区：
文献类型：
--
作者：
M. Itoh;Daisuke Kobayashi
。给出了当L n/ 2 -范数较小时Kähler-Einstein流形的Bochner曲率张量的隔离定理。类似地，得到了 Sasakian 流形的接触 Bochner 曲率张量的隔离定理。这些定理源自 Weitzenböck 公式，该公式对博赫纳曲率张量给出了非线性约束。
. 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.