Vector fields orthogonal to a nonvanishing infinitesimal isometry
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- by Chao Chu Liang PDF
- Proc. Amer. Math. Soc. 75 (1979), 326-328 Request permission
Abstract:
Let X be a nonvanishing infinitesimal isometry on a compact Riemannian manifold M. If there exists a nonvanishing vector field orthogonal to X and commuting with X, then the Euler characteristic of the complex consisting of all the differential forms u satisfying $i(X)u = 0 = L(x)u$ is zero.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 326-328
- MSC: Primary 57R25; Secondary 53C21
- DOI: https://doi.org/10.1090/S0002-9939-1979-0532160-5
- MathSciNet review: 532160