Contact-Complex Riemannian Submersions

A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals mainly with a contact-complex Riemannian submersion from an eta-Ricci soliton; it studies when the base manifold is Einstein on one side and when the fibres are eta-Einstein submanifolds on the other side. Some results concerning the potential are also obtained here.

Automated summary

This paper mainly deals with a contact-complex Riemannian submersion from an eta-Ricci soliton, studying cases when the base manifold is Einstein and when the fibers are eta-Einstein submanifolds. Additionally, some results regarding the potential are obtained in this study.