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Biharmonic Riemannian maps

100%

Ṣahin B.

Annales Polonici Mathematici

2011

tom 102

nr 1

39-49

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.

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

2 Ṣahin B.

1 2011

1 2010

Wyniki wyszukiwania

Biharmonic Riemannian maps

Anti-invariant Riemannian submersions from almost Hermitian manifolds