https://neckpinch.com/authors/adara-m-blaga/New arXiv papers by Adara M. Blaga, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2406.12533arxiv:2406.12533Tue, 18 Jun 2024 00:00:00 GMTAdara M. Blaga — We study some properties of a 3-dimensional manifold with a diagonal Riemannian metric as an almost η-Ricci soliton from the following points of view: under certain assumptions, we determine the potential vector field if η is given; we get constraints on the metric when the potential vector field has a particular expression; we compute the defining functions of the soliton when both the potential vector field and the 1-form are prescribed. Moreover, we find conditions for the manifold to be flat. Based on the theoretical results, we provide examples.Ricci solitonsAlmost & η-Ricci solitons https://arxiv.org/abs/2310.15814arxiv:2310.15814Tue, 24 Oct 2023 00:00:00 GMTAdara M. Blaga, Cihan Özgür — We define the hyperbolic Yamabe flow and obtain some properties of its stationary solutions, namely, of hyperbolic Yamabe solitons. We consider immersed submanifolds as hyperbolic Yamabe solitons and prove that, under certain assumptions, a hyperbolic Yamabe soliton hypersurface is a pseudosymmetric or a metallic shaped hypersurface. We characterize the hyperbolic Yamabe soliton factor manifolds of a multiply twisted, multiply warped, doubly warped, and warped product manifold and provide a classification for a complete gradient hyperbolic Yamabe soliton factor manifold. We also determine the conditions for the factor manifolds to be hyperbolic Yamabe solitons if the manifold is a hyperbolic Yamabe soliton and illustrate this result for a physical model of the universe, namely, for the Robertson–Walker spacetime.Yamabe flowAlmost & η-Ricci solitonsRotational symmetry & warped products https://arxiv.org/abs/2210.05284arxiv:2210.05284Tue, 11 Oct 2022 00:00:00 GMTAdara M. Blaga, Bang-Yen Chen — We provide conditions for a Riemannian manifold with a nontrivial closed affine conformal Killing vector field to be isometric to a Euclidean sphere or to the Euclidean space. Also, we formulate some triviality results for almost Ricci solitons with affine conformal Killing potential vector field.Ricci solitonsAlmost & η-Ricci solitons