Abstract

GENERALIZED RECURRENT LORENTZIAN SASAKIAN MANIFOLD

Highlights

  • The notion of generalized recurrent manifolds was introduced by U

  • We show that in a generalized -recurrent Lorentzian -Sasakian manifold the characteristic vector ...eld and the associated vector ...eld 1 2 + 2 are in opposite direction

  • We show that a 3-dimensional generalized -recurrent Lorentzian -Sasakian manifold is of constant curvature

Read more

Summary

Introduction

The notion of generalized recurrent manifolds was introduced by U. A Riemannian manifold (M n; g) is called generalized recurrent if its curvature tensor R satis...es the condition (rX R)(Y; Z)W = A(X)R(Y; Z)W + B(X)[g(Z; W )Y g(Y; W )Z] where, A and B are two 1-forms, B is non-zero and these are de...ned by. Generalized -recurrent Lorentzian -Sasakian manifold, Einstein manifold, constant curvature. We show that in a generalized -recurrent Lorentzian -Sasakian manifold the characteristic vector ...eld and the associated vector ...eld 1 2 + 2 are in opposite direction. We show that a 3-dimensional generalized -recurrent Lorentzian -Sasakian manifold is of constant curvature

Preliminaries
Lorentzian -Sasakian manifolds
Generalized -recurrent Lorentzian -Sasakian Manifolds

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 call

Disclaimer: 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.