An application of stress energy tensor to the vanishing theorem of differential forms

[摘要] The author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclideann-space, the complexn-space, and the complex hyperbolic space form, if any vector bundle valuedp-form with conservative stress energy tensor is of finite norm or slowly divergent norm, then thep-form vanishes. This generalizes the recent results due to Hu and Sealey.

[学科分类] 数学（综合）