KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Integrability of the distributions of GCR-lightlike submanifolds of (ε)-Sasakian manifolds

Ayşe Funda Saglamer(Dumlupinar University)0000-0001-5162-6378
Nesrin Çalışkan(USAK UNIVERSITY)0000-0002-3189-177X
Sayfa
—
Yayın Tarihi
2020-06-30
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also obtain some necessary and sufficient conditions for the integrability of various distributions of GCR-lightlike submanifolds of (ε)-Sasakian manifolds.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We study GCR-lightlike submanifolds of (ε)-Sasakian manifolds and derived some important structural characteristics equations for further uses.
📊
Temel Bulgular & Veri:We study GCR-lightlike submanifolds of (ε)-Sasakian manifolds and derived some important structural characteristics equations for further uses.
💡
Sonuç & Katkı:We also obtain some necessary and sufficient conditions for the integrability of various distributions of GCR-lightlike submanifolds of (ε)-Sasakian manifolds.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:($\varepsilon$)-Sasakian manifold · lightlike submanifold · GCR-lightlike submanifold

Abstract

We study GCR-lightlike submanifolds of (ε)-Sasakian manifolds and derived some important structural characteristics equations for further uses. We also obtain some necessary and sufficient conditions for the integrability of various distributions of GCR-lightlike submanifolds of (ε)-Sasakian manifolds.

🔖

Bu Makaleye Atıf Yap

Saglamer, A. F., Çalışkan, N. (2020). Integrability of the distributions of GCR-lightlike submanifolds of (ε)-Sasakian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.469747

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (19)

  1. Bejancu, A. CR., Submanifolds of a Kaehler manifold I, Proc. Amer. Math. Soc. (1978), 69: 135-142.
  2. Bejancu, A., Duggal, KL. Real hypersurfaces of indefinite Kaehler manifolds, Int. J. Math. Math. Sci. (1993), 16: 546-556.
  3. Duggal, KL. CR-Structures and Lorentzian geometry, Acta Appl. Math. (1986), 7: 211-223.
  4. Duggal, KL. Lorentzian geometry of CR-submanifolds, Acta Appl. Math. (1989), 17: 171-193.
  5. Duggal, KL., Bejancu, A. Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Dordrecht, The Netherlands: Kluwer Academic Publishers, 1996.
  6. Duggal, KL., Sahin, B. Screen Cauchy-Riemann lightlike submanifolds, Acta Math. Hung. (2005), 106: 137-165.
  7. Duggal, KL., Sahin, B. Generalized Cauchy Riemann lightlike submanifolds of Kaehler manifolds, Acta Math. Hung. (2006), 112: 107-130.
  8. Duggal, KL., Sahin, B. Generalized Cauchy Riemann lightlike submanifolds of indefinite Sasakian manifolds, Acta Math. Hung. (2009), 122: 45-58.
  9. Kumar, R., Kumar, S., Nagaich, RK. On sectional curvatures of Sasakian manifolds, Int. J. Math. Math. Sci. (2007), 1-8.
  10. Kumar, R., Kumar, S., Nagaich, RK. GCR-lightlike product of indefinite Kaehler manifolds, ISRN Geometry (2011), 1-13.
  11. Kumar, R., Kumar, S., Nagaich, RK. Integrability of distributions in GCR-lightlike submanifolds of indefinite Kaehler manifolds, Commun. Korean Math. Soc. (2012), 27: 591-602.
  12. Kumar, S., Kumar, R., Nagaich, RK. Characterization of holomorphic bisectional curvature of GCR-lightlike submanifolds, Adv. Math. Phys. (2012), 2012: 1-18.
  13. Kumar, S., Kumar, R., Nagaich, RK. GCR-lightlike submanifolds of indefinite nearly Kaehler manifolds, B. Korean Math. Soc. (2013), 50: 1173-1192.
  14. Kumar, S., Kumar, R., Nagaich, RK. GCR-Lightlike Submanifolds of a Semi-Riemannian product manifold, B. Korean Math Soc. (2014), 51: 883-899.
  15. Kumar, S., Kumar, R., Nagaich, RK. Ricci tensor for GCR-lightlike submanifolds of indefinite Kaehler manifolds, B. Iran Math. Soc. (2013), 39: 1009-1029.
  16. Jain, V., Kumar, R., Nagaich, RK. Totally contact umbilical GCR-lightlike submanifolds of indefinite Sasakian manifolds, Vietnam J Math., (2011), 39: 91-103.
  17. Jain, V., Kumar, R., Nagaich, RK. Integrability of distributions in GCR-lightlike submanifolds of indefinite Sasakian manifolds, Kyongpook Math. J. (2013), 53: 207-218.
  18. Jain, V., Rani, R., Kumar, R., Nagaich, RK. Some characterization theorems on holomorphic sectional curvature of GCR-lightlike submanifolds, Int J Geom Methods Mod Phys. (2017), 14: 1-18.
  19. Bejancu, A., Duggal, KL. Real hypersurfaces of indefinite Kaehler manifolds, Int. J. Math. Math. Sci. (1993), 16: 546-556.