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Journals / ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE / 2019 / Cilt: 7 - Sayı: 1

Some Types of Null Hypersurfaces

Bilal Eftal Acet
Pages
33–38
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we obtain some results on such hypersurfaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we introduce and study three types of null hypersurfaces of a para-Sasakian manifold which are called re-current, Lie re-current and Hopf null hypersurfaces.
📊
Key Findings & Data:In this article, we introduce and study three types of null hypersurfaces of a para-Sasakian manifold which are called re-current, Lie re-current and Hopf null hypersurfaces.
💡
Conclusion & Impact:Also, we obtain some results on such hypersurfaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article, we introduce and study three types of null hypersurfaces of a para-Sasakian manifold which are called re-current, Lie re-current and Hopf null hypersurfaces. Also, we obtain some results on such hypersurfaces.

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Cite This Article

Acet, B. E. (2022). Some Types of Null Hypersurfaces. ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE, Cilt: 7 - Sayı: 1, 33–38. https://ajindex.com/articles/427293

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References (17)

  1. K. L. Duggal and A. Bejancu, Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and Its Applications, Kluwer Publisher, 1996
  2. K. L. Duggal and B. Şahin, “Generalized CauchyRiemann lightlike submanifolds of Kaehler manifolds”, Acta Math. Hungarica, vol 112, pp. 107-130, 2006
  3. K. L. Duggal and B. Şahin, “Lightlike submanifolds of indefinite Sasakian manifolds”, Int. J. Math. and Math. Sci., Article ID 57585, 2007
  4. K. L. Duggal and B. Şahin, Differential geometry of lightlike submanifolds, Frontiers in Mathematics, 2010
  5. G. J. Galloway, Lecture notes on spacetime geometry, Beijing Int. Math. Research Center, pp. 1-55, 2007
  6. B. E. Acet, S. Yüksel Perktaş and E. Kılıç, “Symmetric lightlike hypersurfaces of a para-Sasakian space form”, Analele Stiintifice Ale Universitatii Al. I. Cuza Iasi (N.S.), vol 2, pp. 915-926, 2016
  7. R. Kumar and R. K. Nagaich, “Characteriztion of GCRlightlike warped product of indefinite cosympletic manifolds”, Novi Sad J. Math., vol 42, pp. 111-126, 2012
  8. D. H. Jin, “Special lightlike hypersurfaces of indefinite Kaehler manifolds”, Filomat, vol 30, pp. 1919-1930, 2016
  9. D. H. Jin, “Lightlike hypersurfaces of indefinite Kaehler manifolds with a semi-symmetric non-metric connection”, J. Korean Math. Soc., vol 54, pp. 101-119, 2017
  10. S. Kaneyuki and M. Konzai, “Paracomplex structure and affine symmetric spaces”, Tokyo J. Math., vol 8, pp. 301-308, 1985
  11. S. Zamkovoy, “Canonical connection on paracontact manifolds”, Ann. Glob. Anal. Geo., vol 36, pp. 37-60, 2009
  12. D. V. Alekseevski, C. Medori and A. Tomassini, “Maximally homogeneous para-CR manifolds”, Ann. Global Anal. Geom., vol 30, pp. 1-27, 2006
  13. B. E. Acet, S. Yüksel Perktaş and E. Kılıç, “On submanifolds of para-Sasakian manifolds”, JP Journal of Geometry and Topology, vol 19, pp. 1-18, 2016
  14. V. Cortés, M. A. Lawn and L. Schäfer, “Affine hyperspheres associated to special para-Kaehler manifolds”, Int. J. Geom. Methods Mod. Phys., vol 3, pp. 995-1009, 2006
  15. S. Erdem, “On almost (para)contact (hyperbolic) metric manifolds and harmonicity of (ϕ,ϕ′)-holomorphic maps between them”, Houston J. Math., vol 28, pp. 21-45, 2002
  16. S. Yüksel Perktaş, “On para-Sasakian manifolds satisfying certain curvature conditions with canonical paracontact connection”, Khayyam J. Math., vol 3, pp. 34- 44, 2017
  17. B. E. Acet, S. Yüksel Perktaş and E. Kılıç, “On lightlike geometry of para-Sasakian manifolds”, Scie