Symmetric cut loci in Riemannian manifolds
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- by W. Vannini and J. H. Rubinstein PDF
- Proc. Amer. Math. Soc. 94 (1985), 317-320 Request permission
Abstract:
Let $M$ be a compact Riemannian manifold with ${H_1}(M,Z) = 0$. We show that, for a point $p \in M$, the cut locus and conjugate locus of $p$ must intersect if $M$ admits a group of isometries which fixes $p$ and has principal orbits of codimension at most 2. This is a classical theorem of Myers [5] in the case when $M$ has dimension 2.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 317-320
- MSC: Primary 53C22; Secondary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-1985-0784185-5
- MathSciNet review: 784185