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A finiteness theorem for Riemannian submersions

100%

Walczak P.

Annales Polonici Mathematici

1992

tom 57

nr 3

283-290

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.

Anti-invariant Riemannian submersions from almost Hermitian manifolds

100%

Ṣahin B.

Open Mathematics

2010

tom 8

nr 3

437-447

We introduce anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a Langrangian Riemannian submersion, a special anti-invariant Riemannian submersion, to be totally geodesic. Moreover, we obtain decomposition theorems for the total manifold of such submersions.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Open Mathematics

1 Walczak P.

1 Ṣahin B.

1 2010

1 1992

Wyniki wyszukiwania

A finiteness theorem for Riemannian submersions

Anti-invariant Riemannian submersions from almost Hermitian manifolds