2021/11/24 by T V Mahesh, T, Mahesh, K. S. Subrahamanian Moosath +1
Mathematics · #53A15 #53C05 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.2111.12501
openalex publication_date 2021/11/24 · openalex created_date 2021/12/06 · openalex updated_date 2026/07/28
In this article, conformal submersion with horizontal distribution of Riemannian manifolds is defined which is a generalization of the affine submersion with horizontal distribution. Then, a necessary condition is obtained for the existence of a conformal submersion with horizontal distribution. For the dual connections ∇ and ∇ on manifold M and ∇^* and ∇^* on manifold B, we show that π: (M,∇) \longrightarrow (B, ∇*) is a conformal submersion with horizontal distribution if and only if π: (M,∇) \longrightarrow (B, ∇*) is a conformal submersion with horizontal distribution. Also, we obtained a necessary and sufficient condition for π∘ σ to become a geodesic of B if σ is a geodesic of M for π: (M,∇,gm) → (B,∇*,gb) a conformal submersion with horizontal distribution.