Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

On a type of K-contact manifolds

Pages
567–571
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Then we study the cyclic parallel Ricci tensor on a K-contact manifold.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we generalize the results of Tanno and Zhen.
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Key Findings & Data:In this paper we generalize the results of Tanno and Zhen.
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Conclusion & Impact:Then we study the cyclic parallel Ricci tensor on a K-contact manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we generalize the results of Tanno and Zhen. Then we study the cyclic parallel Ricci tensor on a K-contact manifold.

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Cite This Article

YILDIZ, A., ATA, E. (2022). On a type of K-contact manifolds. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 567–571. https://ajindex.com/articles/530479

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References (13)

  1. Blair, D.E. Contact Manifolds in Riemannian Geometry (Lectures Notes in Math. 509, Springer-Verlag, Berlin, 1976)
  2. Blair D.E. Riemannian Geometry of Contact and Symplectic manifolds (Birkhauser, Boston, 2002)
  3. Cabrerizo J. L., Fernandes, L.M., Fernandes, M. and Zhen G. The structure of a class of K-contact manifolds, Acta. Math. Hungarica 82 (4), 331–340, 1999
  4. De, U.C. and Biswas, S. On K-contact n-Einstein manifolds, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 48 (96) (3), 295–301, 2005
  5. De, U.C. and Ghosh, S. On a class of K-contact manifolds, SUT Journal of Mathematics 45, 103–118, 2009
  6. Derdzinski, A. and Roter, W. Some theorems on conformally symmetric manifolds, Tensor (N.S.) 32, 11–23, 1978
  7. Derdzinski, A. and Roter, W. On conformally symmetric manifolds with metrics of indices 0 and 1, Tensor (N.S.) 31, 255–259, 1977
  8. Gray, A. Einstein-like manifolds which are not Einstein, Geom. Dedicata 7, 257–280, 1978
  9. Guha, N. and De, U.C. On K-contact manifolds, Serdica 19 (4), 267–272, 1993
  10. Sasaki, S. Lecture Note on Almost Contact Manifolds, Part I (Tohoku University, 1965)
  11. Sasaki S. Lecture Note on Almost Contact Manifolds, Part II (Tohoku University, 1967)
  12. Tanno, S. Ricci curvatures of contact Riemannian manifolds, Tohoku Math. J. 40, 441–448, 1988
  13. Zhen, G. The conformally symmetric K-contact manifolds, Chinese Quarterly Journal of Math. 7, 5–10, 1992.