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

Kairen Cai

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-8

Abstract:

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 Euclidean n -space, the complex n -space, and the complex hyperbolic space form, if any vector bundle valued p -form with conservative stress energy tensor is of finite norm or slowly divergent norm, then the p -form vanishes. This generalizes the recent results due to Hu and Sealey.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:107308

DOI: 10.1155/S0161171288000821

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