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

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  • Kairen Cai

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.

Suggested Citation

  • Kairen Cai, 1988. "An application of stress energy tensor to the vanishing theorem of differential forms," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:107308
    DOI: 10.1155/S0161171288000821
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