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Notes on affine Killing and two-Killing vector fields

  • Wenjie Wang
Published/Copyright: March 28, 2022
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 72 Issue 2

Abstract

In this paper, we investigate the geometry of affine Killing and two-Killing vector fields on Riemannian manifolds. More specifically, a new characterization of an Euclidean space via the affine Killing vector fields are given. Some conditions for an affine Killing and two-Killing vector field to be a conformal (homothetic) or Killing one are provided.

Keywords: Affine Killing vector field; two-Killing vector fields; Killing vector field; Ricci almost soliton; Laplacian
MSC 2010: Primary 53C21; Secondary 53C24

This work was supported by the Scientific Research Program in Zhengzhou University of Aeronautics.

Acknowledgement

The author would like to thank the anonymous reviewer for his or her some valuable suggestions that have essentially improved the original paper.

  1. Communicated by Július Korbaš

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Received: 2020-11-25
Accepted: 2021-05-09
Published Online: 2022-03-28
Published in Print: 2022-04-26

© 2022 Mathematical Institute Slovak Academy of Sciences

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  2. Logical and algebraic properties of generalized orthomodular posets
  3. Integral prefilters and integral Eq-algebras
  4. Modules with fusion and implication based over distributive lattices: Representation and duality
  5. Localization of k × j-rough Heyting algebras
  6. Meet infinite distributivity for congruence lattices of direct sums of algebras
  7. Some exponential diophantine equations II: The equation x2 – Dy2 = kz for even k
  8. On extensions of the Open Door Lemma
  9. Nevanlinna theory for holomophic curves from annuli into semi-Abelian varieties
  10. Stability and feedback stabilizability of delay periodic differential equations with pairwise permutable matrix functions
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  14. A Study on statistical versions of convergence of sequences of functions
  15. Fuzzy fixed point theorems and Ulam-Hyers stability of fuzzy set-valued maps
  16. Notes on affine Killing and two-Killing vector fields
  17. Prediction of the exponential fractional upper record-values
  18. On concomitants of generalized order statistics from generalized FGM family under a general setting
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https://doi.org/10.1515/ms-2022-0034
Keywords for this article
Affine Killing vector field; two-Killing vector fields; Killing vector field; Ricci almost soliton; Laplacian

Articles in the same Issue

  1. Regular Papers
  2. Logical and algebraic properties of generalized orthomodular posets
  3. Integral prefilters and integral Eq-algebras
  4. Modules with fusion and implication based over distributive lattices: Representation and duality
  5. Localization of k × j-rough Heyting algebras
  6. Meet infinite distributivity for congruence lattices of direct sums of algebras
  7. Some exponential diophantine equations II: The equation x2 – Dy2 = kz for even k
  8. On extensions of the Open Door Lemma
  9. Nevanlinna theory for holomophic curves from annuli into semi-Abelian varieties
  10. Stability and feedback stabilizability of delay periodic differential equations with pairwise permutable matrix functions
  11. On the behaviour solutions of fractional and partial integro differential heat equations and its numerical solutions
  12. Oscillatory and asymptotic behavior of solutions of third-order quasi-linear neutral difference equations
  13. Some properties of Kantorovich variant of Chlodowsky-Szász operators induced by Boas-Buck type polynomials
  14. A Study on statistical versions of convergence of sequences of functions
  15. Fuzzy fixed point theorems and Ulam-Hyers stability of fuzzy set-valued maps
  16. Notes on affine Killing and two-Killing vector fields
  17. Prediction of the exponential fractional upper record-values
  18. On concomitants of generalized order statistics from generalized FGM family under a general setting
  19. One-parameter generalization of dual-hyperbolic Pell numbers
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