Conformal anti-invariant ξ^⊥-submersions

2017/01/17 by Mehmet Akif Akyol, Akyol, Mehmet Akif, Yılmaz Gündüzalp +1
Mathematics · #53C15 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1701.05117

openalex publication_date 2017/01/17 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

As a generalization of anti-invariant ξ^⊥-Riemannian submersions, we introduce conformal anti-invariant ξ^⊥-submersions from almost contact metric manifolds onto Riemannian manifolds. We investigate the geometry of foliations which are arisen from the definition of a conformal submersion and find necessary and sufficient conditions for a conformal anti-invariant ξ^⊥-submersion to be totally geodesic and harmonic, respectively. Moreover, we show that there are certain product structures on the total space of a conformal anti-invariant ξ^⊥-submersion.

Citations

• Harmonic morphisms between almost Hermitian manifolds
• Twisted products in pseudo-Riemannian geometry

Related

• Conformal anti-invariant submersions from almost Hermitian manifolds
• Conformal semi-invariant submersions
• Anti-invariant Riemannian submersions from locally conformal Kaehler manifolds
• Anti-invariant Riemannian Submersions from Kenmotsu Manifolds onto Riemannian manifolds
• Semi-invariant Conformal submersions with horizontal Reeb vector field