Contact-Complex Riemannian Submersions

Cornelia-Livia Bejan, Şemsi Eken Meriç and Erol Kılıç
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Cornelia-Livia Bejan: Department of Mathematics, Technical University Gheorghe Asachi Iasi, 700050 Iași, Romania
Şemsi Eken Meriç: Department of Mathematics, Faculty of Science and Arts, Mersin University, Mersin 33343, Turkey
Erol Kılıç: Department of Mathematics, Faculty of Science and Arts, İnönü University, Malatya 42280, Turkey

Mathematics, 2021, vol. 9, issue 23, 1-10

Abstract: 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 η -Ricci soliton; it studies when the base manifold is Einstein on one side and when the fibres are η -Einstein submanifolds on the other side. Some results concerning the potential are also obtained here.

Keywords: Riemannian submersion; submanifold; almost-contact metric manifold; Ricci soliton (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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