Version 1
: Received: 25 June 2021 / Approved: 25 June 2021 / Online: 25 June 2021 (12:31:06 CEST)
How to cite:
Manev, H.; Manev, M. Para-Ricci-like Solitons on Almost Paracontact Almost Paracomplex Riemannian Manifolds. Preprints2021, 2021060622. https://doi.org/10.20944/preprints202106.0622.v1
Manev, H.; Manev, M. Para-Ricci-like Solitons on Almost Paracontact Almost Paracomplex Riemannian Manifolds. Preprints 2021, 2021060622. https://doi.org/10.20944/preprints202106.0622.v1
Manev, H.; Manev, M. Para-Ricci-like Solitons on Almost Paracontact Almost Paracomplex Riemannian Manifolds. Preprints2021, 2021060622. https://doi.org/10.20944/preprints202106.0622.v1
APA Style
Manev, H., & Manev, M. (2021). Para-Ricci-like Solitons on Almost Paracontact Almost Paracomplex Riemannian Manifolds. Preprints. https://doi.org/10.20944/preprints202106.0622.v1
Chicago/Turabian Style
Manev, H. and Mancho Manev. 2021 "Para-Ricci-like Solitons on Almost Paracontact Almost Paracomplex Riemannian Manifolds" Preprints. https://doi.org/10.20944/preprints202106.0622.v1
Abstract
It is introduced and studied para-Ricci-like solitons with potential Reeb vector field on almost paracontact almost paracomplex Riemannian manifolds. The special cases of para-Einstein-like, para-Sasaki-like and having a torse-forming Reeb vector field have been considered. It is proved a necessary and sufficient condition the manifold to admit a para-Ricci-like soliton which is the structure to be para-Einstein-like. Explicit examples are provided in support of the proven statements.
Keywords
para-Ricci-like soliton; $\eta$-Ricci soliton; para-Einstein-like manifold; $\eta$-Einstein manifold; almost paracontact almost paracomplex Riemannian manifold; torse-forming vector field
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
