A sphere theorem for odd-dimensional submanifolds of spheres
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- by Theodoros Vlachos PDF
- Proc. Amer. Math. Soc. 130 (2002), 167-173 Request permission
Abstract:
We establish a topological sphere theorem from the point of view of submanifold geometry for odd-dimensional submanifolds $M^n$ of a unit sphere. We give examples which show that our result is optimal. Moreover, we note the assumption that the dimension $n$ is odd is essential.References
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Additional Information
- Theodoros Vlachos
- Affiliation: Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
- MR Author ID: 291296
- Email: tvlachos@cc.uoi.gr
- Received by editor(s): March 1, 2000
- Received by editor(s) in revised form: May 17, 2000
- Published electronically: May 2, 2001
- Communicated by: Wolfgang Ziller
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 167-173
- MSC (2000): Primary 53C40; Secondary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-01-06096-8
- MathSciNet review: 1855635