Year: 2025
Type: article
Abstract: This paper explores the geometry of 3-dimensional quasi Sasakian manifolds under CL-transformations. We construct both infinitesimal and CL-transformation and demonstrate that the former does not necessarily yield projective killing vector fields. A novel invariant tensor, termed the CL-curvature tensor, is introduced and shown to remain invariant under CL-transformations. Utilizing this tensor, we characterize CL-flat, CL-symmetric, CL-φ symmetric and CL-φ recurrent structures on such manifolds by mean of differential equations. Furthermore, we investigate conditions under which a Ricci soliton exists on a CL-transformed quasi Sasakian manifold, revealing that under flat curvature, the structure becomes Einstein. These findings contribute to the understanding of curvature dynamics and soliton theory within the context of contact metric geometry.
Source: Mathematics
DOI: 10.3390/math13101543
Institutions: Mizoram University, Qassim University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Funder: Qassim University
Award: G92618698
OpenAlex ID: W4410215488