Special Projective Semi-symmetric Connection on Kenmotsu Manifolds

Authors

  • K.C. Biakkim Mizoram University, India
  • M. Saroja Devi Mizoram University, India

DOI:

https://doi.org/10.22232/stj.2024.12.02.07

Keywords:

Special projective semi-symmetric connection, Kenmotsu manifold, Weyl projective curvature, Tensor

Abstract

The aim of the present paper is to study the properties of Kenmotsu manifolds admitting a special projective semi-symmetric connection. We have discovered that if a Kenmotsu manifold of n dimension (n > 2), is Ricci flat with respect to special projective semi-symmetric connection whose 1-form ŋ is a recurrent, then the manifold is a certain class of quasi-η Einstein manifold. Finally, we show that Weyl projective curvature tensor with respect to special projective semi-symmetric connection is cyclic on the Kenmotsu manifold.

Author Biographies

K.C. Biakkim, Mizoram University, India

Department of Mathematics and Computer Science

M. Saroja Devi, Mizoram University, India

Department of Mathematics and Computer Science

References

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Cover page of Science & Technology Journal (STJ), Volume 12, Number 2, June 2024, published by Mizoram University

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Published

2025-10-07

How to Cite

K.C. Biakkim, & M. Saroja Devi. (2025). Special Projective Semi-symmetric Connection on Kenmotsu Manifolds. Science & Technology Journal, 12(2). https://doi.org/10.22232/stj.2024.12.02.07

Issue

Vol. 12 No. 2 (2024): Volume 12, Issue 2, June 2024

Section

Research Articles

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Copyright (c) 2025 K.C. Biakkim, M. Saroja Devi

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