Bull. Austral. Math. Soc. 72(3) pp.391--402, 2005.

Examples and classification of
Riemannian submersions satisfying a basic equality

Bang-Yen Chen

Received: 4th July, 2005



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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(Metadata: XML, RSS, BibTeX) MathSciNet: MR2199641 Z'blatt-MATH: 1093.53064


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