On a theorem of Chern
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- by J. H. Sampson PDF
- Trans. Amer. Math. Soc. 177 (1973), 141-153 Request permission
Abstract:
A new proof is given for Chern’s theorem showing that the Laplace operator for differential forms commutes with decomposition of forms associated with G-structures admitting a suitable connection. An analogous result is proved for symmetric tensor fields, and an application is made to determine all harmonic symmetric fields on a compact space of constant negative curvature. Vector-valued forms are also discussed.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 177 (1973), 141-153
- MSC: Primary 53C10
- DOI: https://doi.org/10.1090/S0002-9947-1973-0317221-7
- MathSciNet review: 0317221