2026-10-19T01:04:04Zhttps://ebyu-rdlopen.rawdatalibrary.net/oai/request
oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/176252026-10-18T20:49:38Zopenairedrivercom_ebyu_10000col_ebyu_10001
Some characterizations of hyperbolic Ricci solitons on nearly cosymplectic manifolds with respect to the Tanaka-Webster connectionAltunbaş, MuratMatematikIt is known that a hyperbolic Ricci soliton is one of the generalization of the Ricci solitons and it is a Riemannian manifold (𝑀, 𝑔) furnished with a differentiable vector field π‘ˆ on 𝑀 and two real numbers πœ† and πœ‡ ensuring 𝑅𝑖𝑐 + πœ†πΏπ‘ˆ 𝑔 + 1 2 πΏπ‘ˆ (πΏπ‘ˆ 𝑔) = πœ‡π‘”, where πΏπ‘ˆ denotes the Lie derivative with respect to the vector field 𝑋 on 𝑀. Furthermore, hyperbolic Ricci solitons yield similar solutions to hyperbolic Ricci flow. In this paper, we study hyperbolic Ricci solitons on nearly cosymplectic manifolds endowed with the Tanaka-Webster connection. We give some results for these manifolds when the potential vector field is a pointwise collinear with the Reeb vector field and a concircular vector field.2024Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/17625https://doi.org/10.26650/ijmath.2024.00012enIstanbul journal of mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/17625