SavedAdd your journal

Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 3

On null submanifolds of generalized Robertson–Walker space forms

Mohamed H. A. HAMED
Fortune MASSAMBA
Samuel SSEKAJJA
Pages
1650–1667
Publication Date
2022-11-04
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)

Usinggeneralized Newton transformations, we obtain new geometric configurations for the mean curvature functions whichgeneralize many well-known results on null geometry.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We investigate totally umbilical r -null submanifolds of generalized Robertson–Walker space forms.
📊
Key Findings & Data:We investigate totally umbilical r -null submanifolds of generalized Robertson–Walker space forms.
💡
Conclusion & Impact:Usinggeneralized Newton transformations, we obtain new geometric configurations for the mean curvature functions whichgeneralize many well-known results on null geometry.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We investigate totally umbilical r -null submanifolds of generalized Robertson–Walker space forms. Usinggeneralized Newton transformations, we obtain new geometric configurations for the mean curvature functions whichgeneralize many well-known results on null geometry.

🔖

Cite This Article

HAMED, M. H. A., MASSAMBA, F., SSEKAJJA, S. (2022). On null submanifolds of generalized Robertson–Walker space forms. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1650–1667. https://ajindex.com/articles/607650

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Albujer AL, Haesen S. A geometrical interpretation of the null sectional curvature. Journal of Geometry and Physics 2010; 60: 471-476
  2. Andrzejewski K, Kozłowski W, Niedziałomski K. Generalized Newton transformation and its applications to extrinsic geometry. Asian Journal of Mathematics 2016; 20: 293-322
  3. Andrzejewski K, Walczak PG. The Newton transformation and new integral formulae for foliated manifolds. Annals of Global Analysis and Geometry 2010; 3: 103-111
  4. Chen BY, Van der Veken J. Spatial and Lorentzian Surfaces in Robertson-Walker space-times. Journal of Mathematical Physics 2007; 48: 1-12
  5. Duggal KL, Bejancu A. Lightlike Subamnifold of Semi-Riemannian Manifolds and Applications. Dordrecht, the Netherlands: Kluwer Academic Publishers, 1996
  6. Duggal KL, Sahin B. Lightlike submanifolds of indefinite Sasakian manifolds. International Journal of Mathematics and Mathematical Sciences 2007: Art. ID 57585: 21 pp
  7. Duggal KL, Sahin B. Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics. Basel, Switzerland: Birkhäuser Verlag, 2010
  8. Duggal KL, Jin DH. Geometry of null curves. Mathematics Journal of Toyama University 1999; 22: 95-120
  9. Duggal KL, Jin DH. Half lightlike submanifolds of codimension 2. Mathematics Journal of Toyama University 1999; 22: 121-161
  10. Duggal KL, Jin DH. Totally umbilical lightlike submanifolds. Kodai Mathematical Journal 2003; 26: 49-68
  11. Erdogan FE, Güneş R, Şahin B. Half-lightlike submanifolds with planar normal sections in R4 2. Turkish Journal of Mathematics 2014; 38: 764-777
  12. Gupta RS, Upadhyay A, Shaffuddin A. Lightlike submanifolds of indefinite cosymplectic manifolds. Analele ştiinţifice ale Universităţii ”Al. I. Cuza” din Iaşi Matematică (NS) 2012; 58: 157-180
  13. Kang TH. On Lightlike hypersurfaces of a GRW space-time. Bulletin of the Korean Mathematical Society 2012; 49: 863-874
  14. Kang TH. On Lightlike submanifolds of a GRW space-time. Communications of the Korean Mathematical Society 2014; 29: 295-310
  15. Kupeli DN. Singular Semi-Riemannian Geometry, Mathematics and Its Applications. Kluwer Academic Publishers, 1996
  16. Massamba F. Totally contact umbilical lightlike Hypersurfaces of indefinite Sasakian manifolds. Kodai Mathematical Journal 2008; 31: 338-358
  17. Massamba F. Almost Weyl structures on null geometry in indefinite Kenmotsu manifolds. Mathematica Slovaca 2016; 66: 1443-1458
  18. Massamba F. A conformal connection on null hypersur