SavedAdd your journal

Journals / Mathematical Sciences and Applications E-Notes / 2015 / Cilt: 3 - Sayı: 1

RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS

Cumali YILDIRIM
Feyza Esra ERDOĞAN
Pages
75–85
Publication Date
2015-05-15
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

We also obtain characterization of screen transversal anti-invariant lightlike submanifolds.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We study screen transversal lightlike submanifolds of semi-Riemannian product manifolds.
📊
Key Findings & Data:We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection.
💡
Conclusion & Impact:We also obtain characterization of screen transversal anti-invariant lightlike submanifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lightlike submanifolds · semi-Riemannian product manifolds · Screen transversal lightlike submanifolds

Abstract

We study screen transversal lightlike submanifolds of semi-Riemannian product manifolds. We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection. We also obtain characterization of screen transversal anti-invariant lightlike submanifolds.

🔖

Cite This Article

YILDIRIM, C., ERDOĞAN, F. E. (2015). RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Mathematical Sciences and Applications E-Notes, Cilt: 3 - Sayı: 1, 75–85. https://ajindex.com/articles/690794

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (17)

  1. Atceken, M., and Kilic, E., Semi Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J. Vol.30, No.3, 361-378, (2007)
  2. Bejan, C.L., 2-Codimensional Lightlike Submanifolds of Almost Para-Hermitian Manifolds, Differential Geometry and Applications, 7-17, (1996)
  3. Chen, B.Y.: Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds, Monatsh. Math., Vol.133, No.3, 177-195, (2005)
  4. Duggal, K.L., Warped Product of Lightlike Manifolds, Nonlinear Anaysis, 47, 3061-3072, (2001)
  5. Duggal, K.L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Its Applications, Kluwer, Dortrecht, (1996)
  6. Duggal, K.L. and Jin, D.H., Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World Scientific Publishing Co Pte Ltd, (2007)
  7. Duggal, K.L. and Jin, D.H., Totally Umbilical Lightlike Submanifolds, Kodai Math. J., 26, 49-68, (2003)
  8. Duggal, K.L. and Sahin, B., Screen Cauchy Riemannian Lightlike Submanifolds, Acta Mathematica Hungarica, 106, 1-2, 125-153, (2005)
  9. Duggal, K. L. and Sahin B., Differential Geometry of Lightlike Submanifolds, Springer Birkhauser,2010
  10. Hawking, S.W. and Ellis, G.F.R., The large Scale Structure of Spacetime, Cambridge Univ. Press, Cambridge, (1972
  11. Kilic, E. and Sahin, B., Radical Anti Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds, Turk. J. Math. 32, 429-449, (2008
  12. Kupeli, D.N., Singular semi-Riemannian geometry, kluwe Academic Publishers. 366, (1996
  13. Nomizu, K. and Sasaki, T., Affine Differential Geometry, Cambridge Univ. Press. Cambridge, (1994)
  14. O’Neil, B., Semi Riemannian Geometry, Academic Press Inc., (1983)
  15. Sahin, B., Warped Product Lightlike Submanifolds, Sarajevo Journal of Mathematics, Vol.1, 14, 251-260, (2005)
  16. Senlin, X. and Yilong,N., Submanifolds of Product Riemannian Manifold, Acta Mathematica Scienta, 20(B), 213-218, (2000)
  17. Yildirim, C. and Sahin, B., Screen Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds, An. Şt. Univ. Ovidius Constanta, Vol. 18(2), 315-336, (2010