https://neckpinch.com/authors/aydin-gezer/New arXiv papers by Aydin Gezer, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2402.15846/arxiv:2402.15846Sat, 24 Feb 2024 00:00:00 GMTKrishnendu De, Uday Chand De, Aydin Gezer — This article carries out the investigation of a three-dimensional Riemannian manifold N³ endowed with a semi-symmetric type non-metric connection. Firstly, we construct a non-trivial example to prove the existence of a semi-symmetric type non-metric connection on N³. It is established that a N³ with the semi-symmetric type non-metric connection, whose metric is a gradient Ricci soliton, is a manifold of constant sectional curvature with respect to the semi-symmetric type non-metric connection. Moreover, we prove that if the Riemannian metric of N³ with the semi-symmetric type non-metric connection is a gradient Yamabe soliton, then either N³ is a manifold of constant scalar curvature or the gradient Yamabe soliton is trivial with respect to the semi-symmetric type non-metric connection. We also characterize the manifold N³ with a semi-symmetric type non-metric connection whose metrics are Einstein solitons and m-quasi Einstein solitons of gradient type, respectively.Ricci solitonsAlmost & η-Ricci solitons3-manifoldsScalar curvature