Bull. Austral. Math. Soc. 72(3) pp.391--402, 2005.
Examples and classification of
Riemannian submersions satisfying a basic equality
Bang-Yen Chen |
.
Abstract
In an earlier article we obtain a sharp
inequality for an arbitrary isometric immersion from a Riemannian
manifold admitting a Riemannian submersion with totally geodesic
fibres into a unit sphere. In this article we investigate the
immersions which satisfy the equality case of the inequality. As a
by-product, we discover a new characterisation of Cartan
hypersurface in S
4.
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[an error occurred while processing this directive]| (Metadata: XML, RSS, BibTeX) | MathSciNet: MR2199641 | Z'blatt-MATH: 1093.53064 |
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