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Anti-invariant Riemannian submersions from almost Hermitian manifolds

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Central European Journal of Mathematics

Abstract

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.

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Correspondence to Bayram Ṣahin.

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Ṣahin, B. Anti-invariant Riemannian submersions from almost Hermitian manifolds. centr.eur.j.math. 8, 437–447 (2010). https://doi.org/10.2478/s11533-010-0023-6

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  • DOI: https://doi.org/10.2478/s11533-010-0023-6

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