Kongunadu Research Journal
Vol. 13 No. 1 (2026): Vol 13, Iss 1, Year 2026
Articles

PROJECTIVE TRANSFORMATION ON N(k) -CONTACT METRIC MANIFOLD

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  • Prabhakar M,
  • H. G. Nagaraja
Prabhakar M
Department of Mathematics, Bangalore University, Jnanabharathi, Bengaluru-560056, Karnataka, India.
H. G. Nagaraja
Department of Mathematics, Bangalore University, Jnanabharathi, Bengaluru-560056, Karnataka, India.
DOI: https://doi.org/10.26524/krj.2026.7
Published June 30, 2026
Keywords
  • contact metric manifold, Projective vector field, Sasakian, constant curvature, Ricci soliton.
How to Cite
Prabhakar M, & H. G. Nagaraja. (2026). PROJECTIVE TRANSFORMATION ON N(k) -CONTACT METRIC MANIFOLD. Kongunadu Research Journal, 13(1), 42-47. https://doi.org/10.26524/krj.2026.7

Abstract

In this paper, we study projective vector fields on N(k) -contact metric manifolds. We obtain classification theorems for N(k) -contact metric manifolds admitting projective vector fields under the assumption of constant scalar curvature. we show that such a manifold is Sasakian or locally isometric to En+1 x Sn(4). A rigidity result is established showing that a projective flow is a curvature collineationunder certain conditions.

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