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Reeb flow invariant ∗-Ricci operators on trans-Sasakian three-manifolds

  • Rongsheng Ma and Donghe Pei EMAIL logo
Published/Copyright: June 8, 2021
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 71 Issue 3

Abstract

In this paper, we investigate the ∗-Ricci operators on trans-Sasakian three-manifolds. We find conditions at which ∗- Ricci tensor on trans-Sasakian three-manifolds is symmetric and under which the ∗-Ricci operators are Reeb flow invariant.

MSC 2010: 53C25; 53C44
Keywords: Trans-Sasakian three-manifold; ∗-Ricci operator; Reeb flow invariant

This work was supported by National Natural Science Foundation of China Grant No. 11671070

Acknowledgement

The authors wish to express their sincere thanks to the referee for helpful comments to improve the original manuscript.

  1. (Communicated by Július Korbaš )

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Received: 2020-04-04
Accepted: 2020-08-20
Published Online: 2021-06-08
Published in Print: 2021-06-25

© 2021 Mathematical Institute Slovak Academy of Sciences

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  10. A New fuzzy McShane integrability
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https://doi.org/10.1515/ms-2021-0017
Keywords for this article
Trans-Sasakian three-manifold; ∗-Ricci operator; Reeb flow invariant

Articles in the same Issue

  1. Regular papers
  2. Properties of implication in effect algebras
  3. On a nonlinear relation for computing the overpartition function
  4. Six-cycle systems
  5. Representation of bifinite domains by BF-closure spaces
  6. L-fuzzy cosets in universal algebras
  7. Density of sets with missing differences and applications
  8. Degree of independence of numbers
  9. A generalization of a result on the sum of element orders of a finite group
  10. A New fuzzy McShane integrability
  11. Hankel determinants of second and third order for the class 𝓢 of univalent functions
  12. Herglotz's theorem for Jacobi-Dunkl positive definite sequences
  13. Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind
  14. Existence on solutions of a class of casual differential equations on a time scale
  15. On a general system of difference equations defined by homogeneous functions
  16. Jordan amenability of banach algebras
  17. A new notion of orthogonality involving area and length
  18. Reeb flow invariant ∗-Ricci operators on trans-Sasakian three-manifolds
  19. A finite graph is homeomorphic to the Reeb graph of a Morse–Bott function
  20. On first countable quasitopological homotopy groups
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