Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds

Hristo Manev and Mancho Manev
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Hristo Manev: Department of Medical Physics and Biophysics, Faculty of Pharmacy, Medical University of Plovdiv, 15A Vasil Aprilov Blvd, 4002 Plovdiv, Bulgaria
Mancho Manev: Department of Medical Physics and Biophysics, Faculty of Pharmacy, Medical University of Plovdiv, 15A Vasil Aprilov Blvd, 4002 Plovdiv, Bulgaria

Mathematics, 2022, vol. 10, issue 4, 1-10

Abstract: Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π -manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics. Thus, the corresponding scalar curvatures of both considered metrics are equal and constant. An explicit example of the Lie group as the manifold under study is presented.

Keywords: para-Ricci-like soliton; para-Sasaki-like; Riemannian ?-manifolds; arbitrary potential; Einstein manifold; Einstein-like manifold; ? -Einstein manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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