On the existence of complete parallel vector fields
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- by David J. Welsh PDF
- Proc. Amer. Math. Soc. 97 (1986), 311-314 Request permission
Abstract:
In 1966, Chern asked which compact orientable manifolds carry a Riemannian metric and a vector field which is parallel under this metric. An earlier paper answered this without assuming orientability. The present paper applies techniques which work without compactness to identify manifolds which can carry complete parallel vector fieldsReferences
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 311-314
- MSC: Primary 53C20; Secondary 53C05, 57R25
- DOI: https://doi.org/10.1090/S0002-9939-1986-0835888-6
- MathSciNet review: 835888