Symmetry Analysis of (κ, μ, ν)-Paracontact Manifolds Admitting Ricci Solitons
Tugba Mert *
Department of Mathematics, Faculty of Science, Sivas Cumhuriyet University, 58070, Sivas, Turkiye.
Ozgur Ince
Department of Mathematics, Faculty of Science, Sivas Cumhuriyet University, 58070, Sivas, Turkiye.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we investigate Ricci solitons on (κ, μ, ν)-paracontact manifolds by employing the Riemann,W0, W\(^*_1\) , and W7 curvature tensors. The study focuses on analyzing the conditions under which a paracontact manifold admitting a Ricci soliton exhibits Ricci pseudosymmetry and Ricci semisymmetry. By exploring the interplay between Ricci solitons and these curvature structures, we establish several characterizations and derive necessary conditions that enrich the geometric understanding of paracontact manifolds. The obtained results not only extend previous studies on curvature-restricted structures but also highlight the role of Ricci solitons in shaping the intrinsic and extrinsic geometry of paracontact spaces.
Keywords: ( κ, μ )−paracontact manifold, (κ, μ, ν)-paracontact manifold, ricci soliton, paracontact geometry