Anti-invariant Riemannian submersions from almost Hermitian manifolds

• Autorzy: Bayram Ṣahin
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Riemannian submersion; Hermitian manifold; Anti-invariant Riemannian submersion; Langrangian Riemannian submersion

Kategorie tematyczne

• 53C43: Differential geometric aspects of harmonic maps
• 53B20: Local Riemannian geometry
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 3
• Strony: 437-447

Daty

wydano

2010-06-01

online

2010-05-30

Twórcy

autor

Bayram Ṣahin

• Inonu University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0023-6