Anti-invariant Riemannian submersions from almost Hermitian manifolds

作者：Sahin Bayram^*

来源：Central European Journal of Mathematics, 2010, 8(3): 437-447.

DOI：10.2478/s11533-010-0023-6

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

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.

• 出版日期2010-6