Displaying similar documents to “The revival of the Riemannian approach to integration”

A finiteness theorem for Riemannian submersions

Paweł G. Walczak (1992)

Annales Polonici Mathematici

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Given some geometric bounds for the base space and the fibres, there is a finite number of conjugacy classes of Riemannian submersions between compact Riemannian manifolds.

Riemannian convexity.

Udrişte, Constantin (1996)

Balkan Journal of Geometry and its Applications (BJGA)

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Biharmonic Riemannian maps

Bayram Ṣahin (2011)

Annales Polonici Mathematici

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We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo-umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the target manifolds.