CONFORMAL CURVATURE TENSOR ON PARACONTACT METRIC MANIFOLDS

Authors

  • Venkatesha Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Karnataka, India Author
  • D.M. Naik Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Karnataka, India Author
  • H.A. Kumara Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Karnataka, India Author

Keywords:

Conformal curvature tensor, paracontact metric manifold, $K$-paracontact manifold, paraSasakian manifold, regular $K$-paracontact manifold

Subjects:

53C15, 53C25, 53D10

Abstract

In this paper, we consider paracontact metric manifolds satisfying certain flatness conditions on the conformal curvature tensor. Specifically, we study $\xi$-conformally flat $K$-paracontact manifolds and $\varphi$-conformally flat $K$-paracontact and paraSasakian manifolds. Also we discuss $\varphi$-conformally flat compact regular $K$-paracontact manifolds. Finally, we study conformally flat paracontact metric manifolds..

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Published

2020-07-15

Issue

Vol. 72 No. 3 (2020): Vol. 72, Issue 3

Section

Articles

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Copyright (c) 2020 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.