On H-Conformal Semi-invariant Submersion

2025/06/18 by Punam Gupta, Gupta, Punam, K. C. Gupta +1
Engineering · #53C12 #53C15 #53C26 #53C55 #Differential Geometry (math.DG) #Elasticity and Wave Propagation #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2506.15099

openalex publication_date 2025/06/18 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28

Abstract

We explore h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions originating from quaternionic Kähler manifolds to Riemannian manifolds. Our investigation focuses on the geometric characteristics of these submersions, including the integrability of distributions and the geometry of foliations. Additionally, we establish the necessary and sufficient conditions for such submersions to be totally geodesic. We also examine the equivalent conditions for the total manifold of the submersion to be twisted product manifold. Finally, we present a series of examples illustrating quaternionic Kähler manifolds and h-conformal semi-invariant submersions from quaternionic Kähler manifolds to Riemannian manifolds.

Citations

• Almost h-conformal semi-invariant submersions from almost quaternionic\n Hermitian manifolds
• H-anti-invariant submersions from almost quaternionic Hermitian\n manifolds
• Conformal anti-invariant submersions from almost Hermitian manifolds
• Semi-invariant submersions from almost Hermitian manifolds

Related

• Almost h-conformal semi-invariant submersions from almost quaternionic\n Hermitian manifolds
• Conformal semi-invariant submersions
• Almost h-conformal slant submersions from almost quaternionic Hermitian manifolds
• Conformal generic submersions with total space an almost Hermitian manifold
• Conformal anti-invariant submersions from almost Hermitian manifolds