Anti-invariant Riemannian submersions from locally conformal Kaehler\n manifolds

2019/07/03 by Majid Ali Choudhary, Choudhary, Majid Ali
Mathematics · Physics and Astronomy · #53B20 #53C15 #53C43 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1907.01977

openalex publication_date 2019/07/03 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

B. Sahin [9] introduced the notion of anti-invariant Riemannian submersions\nfrom almost Hermitian manifolds onto Riemannian manifolds. In the present paper\nwe extend the notion of anti-invariant and Lagrangian Riemannian submersions (a\nspecial anti-invariant Riemannian submersion) to the case of locally conformal\nKaehler manifolds. We discuss the geometry of foliation and obtain some\ndecomposition theorems for the total manifold of such submersions.\n

Related

• Conformal anti-invariant ξ^⊥-submersions
• Conformal anti-invariant submersions from almost Hermitian manifolds
• Clairaut anti-invariant submersion from nearly Kaehler manifold
• Anti-invariant Riemannian Submersions from Kenmotsu Manifolds onto Riemannian manifolds
• On H-Conformal Semi-invariant Submersion