Abstract
The object of the present paper is to study three-dimensional quasi-Sasakian manifold equipped with semi-symmetric metric connection. The geometrical properties of conformal curvature tensor and the conservative quasi-conformal curvature tensor are discussed with such connection. Among other we have deal the conservative properties of quasi-conformal curvature with respect to semi-symmetric metric connection. Key words: Quasi-Sasakian manifold, conformal curvature tensor, quasi-conformal curvature tensor.
Highlights
Friedmann and Schouten (1924) introduced the notion of semi-symmetric linear connection on a differential manifold. Hayden (1932) introduced the idea of metric connection with torsion on Riemannian manifold
The object of the present paper is to study three-dimensional quasi-Sasakian manifold equipped with semi-symmetric metric connection
The geometrical properties of conformal curvature tensor and the conservative quasi-conformal curvature tensor are discussed with such connection
Summary
Friedmann and Schouten (1924) introduced the notion of semi-symmetric linear connection on a differential manifold. Hayden (1932) introduced the idea of metric connection with torsion on Riemannian manifold. The object of the present paper is to study three-dimensional quasi-Sasakian manifold equipped with semi-symmetric metric connection. Among other we have deal the conservative properties of quasi-conformal curvature with respect to semi-symmetric metric connection. Concircular, quasi-conformal curvature tensor on K -contact, Kenmotsu and Trans-Sasakian manifolds.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
