Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds

2013/02/20 by Cengizhan Murathan, Murathan, C., İrem Küpeli Erken +1
Mathematics · Physics and Astronomy · #53C25 #53C43 #53C55 #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.1302.5108

openalex publication_date 2013/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic. We give examples of anti-invariant submersions such that characteristic vector field ξ is vertical or horizontal. Moreover we give decomposition theorems by using the existence of anti-invariant Riemannian submersions.

Citations

• Harmonic Mappings of Riemannian Manifolds
• Twisted products in pseudo-Riemannian geometry

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