\mathscr{Z} \text {-symmetries of }(\varepsilon) \text {-para-Sasakian 3-manifolds }

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Abstract

The object of this paper is study $(\varepsilon)$-para-Sasakian 3-manifolds satisfying certain conditions on the $\mathscr{Z}$ tensor. We characterize: $\mathscr{Z}$-symmetric, $\mathscr{Z}$-semisymmetric, $\mathscr{Z}$-pseudosymmetric, and projectively $\mathscr{Z}$-semisymmetric conditions on an ( $\varepsilon$-para-Sasakian 3-manifold.

Keywords:

\text { (ع)-para-Sasakian 3-manifold }, \mathscr{Z} \text { tensor }, \mathscr{Z} \text {-semisymmetric }, \mathscr{Z} \text {-pseudosymmetric }, Ricci-symmetric, Riccisemisymmetric, Einstein manifold

Mathematics Subject Classification:

Mathematics
  • Pages: 770-774
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

N. B. Gatti, M. Nagaraja, Raghawendra Mishra, and D. G. Prakasha4. “\mathscr{Z} \text {-Symmetries of }(\varepsilon) \text {-Para-Sasakian 3-Manifolds }”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 770-4, https://www.malayajournal.org/index.php/mjm/article/view/1156.

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Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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