Journal article
Manifolds of almost half of the maximal volume
Proceedings of the American Mathematical Society, Vol.104(1), pp.277-277
1988
DOI: 10.1090/S0002-9939-1988-0958083-0
Abstract
The Riemannian manifolds with sectional curvature $ \geq 1$ and volume slightly less (in terms of the dimension and the upper bound of the sectional curvature) than $ V$, the half of the volume of the standard sphere, are classified. The behavior of the critical points of the distance function on manifolds whose volume differ from $ V$ in terms of constructible constants in terms of the dimension is discussed.
Details
- Title: Subtitle
- Manifolds of almost half of the maximal volume
- Creators
- Oguz C Durumeric - University of Iowa, Mathematics
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.104(1), pp.277-277
- DOI
- 10.1090/S0002-9939-1988-0958083-0
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Language
- English
- Date published
- 1988
- Academic Unit
- Mathematics
- Record Identifier
- 9984005100302771
Metrics
296 Record Views