Some results on ParaSasakian manifolds

Authors

  • U.C. De University of Calcutta, West Bengal, India
  • G. Ghosh University of Calcutta, West Bengal, India
  • J.B. Jun Kookmin University, Seoul, Korea
  • P. Majhi University of Calcutta, West Bengal, India

Keywords:

ParaSasakian manifolds, quasi constant curvature, conformally flat, D-homothetic deformation, ϕ-sectional curvature, η-parallelity, locally ϕ-Ricci symmetry, gradient Ricci soliton, Einstein manifold

Abstract

In this paper, at first, we obtain a sufficient condition for a pseudo-Riemannian manifold to be a paraSasakian manifold. Next, we study Ricci semi-symmetric and Weyl semi-symmetric paraSasakian manifolds. Also, we study the D-homothetic deformation of paraSasakian manifolds. Finally, we study gradient Ricci soliton on paraSasakian manifolds.

Author Biographies

U.C. De, University of Calcutta, West Bengal, India

Department of Pure Mathematics, 35, Ballygunge Circular Road, Kol- 700019

G. Ghosh, University of Calcutta, West Bengal, India

Department of Pure Mathematics, 35, Ballygunge Circular Road, Kol- 700019

J.B. Jun, Kookmin University, Seoul, Korea

Department of Mathematics, Faculty of Natural Science, 136-702

P. Majhi, University of Calcutta, West Bengal, India

Department of Pure Mathematics, 35, Ballygunge Circular Road, Kol- 700019

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Published

2018-07-10

Issue

Vol. 11(60) No. 1 (2018)

Section

MATHEMATICS