An example relevant to curvature pinching theorems for Riemannian foliations
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- by James J. Hebda
- Proc. Amer. Math. Soc. 114 (1992), 195-199
- DOI: https://doi.org/10.1090/S0002-9939-1992-1086327-7
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Abstract:
We describe a one-parameter family of codimension-$2$ Riemannian foliations of ${S^3}$ which are not transversely homogeneous. The example shows that the comparison theorem for Riemannian foliations of Kamber-Ruh-Tondeur [4] fails without an additional hypothesis.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 195-199
- MSC: Primary 53C12; Secondary 53C20, 57R30
- DOI: https://doi.org/10.1090/S0002-9939-1992-1086327-7
- MathSciNet review: 1086327