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 subm...

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Bibliographic Details
Published in:Mathematics
Main Authors: Cornelia-Livia Bejan, Şemsi Eken Meriç, Erol Kılıç
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Subjects:
Riemannian submersion
submanifold
almost-contact metric manifold
Ricci soliton
Online Access:https://www.mdpi.com/2227-7390/9/23/2996
Description
Summary: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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>-Ricci soliton; it studies when the base manifold is Einstein on one side and when the fibres are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>-Einstein submanifolds on the other side. Some results concerning the potential are also obtained here.
ISSN:2227-7390

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