Odd dimensional manifolds with regular conjugate locus
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- Proc. Amer. Math. Soc. 38 (1973), 441-442 Request permission
Abstract:
We show that all odd dimensional manifolds, for which the first conjugate locus, with respect to some point, is regular, are homeomorphic to a sphere.References
- Frank W. Warner, The conjugate locus of a Riemannian manifold, Amer. J. Math. 87 (1965), 575–604. MR 208534, DOI 10.2307/2373064
- F. W. Warner, Conjugate loci of constant order, Ann. of Math. (2) 86 (1967), 192–212. MR 214005, DOI 10.2307/1970366
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 441-442
- MSC: Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0315629-2
- MathSciNet review: 0315629