Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 2

On generalized weakly symmetric (LCS)n-manifolds

Sayfa
427–438
Yayın Tarihi
2022-10-18
DOI
—
🏛️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)

Finally, the existence of such manifold is ensured by a non-trivial example.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The object of the present paper is to study generalized weakly symmetric and weakly Ricci symmetric (LCS)n-manifolds.
📊
Temel Bulgular & Veri:Our aim is to bring out different type of curvature restrictions for which (LCS)n-manifolds are sometimes Einstein and some other time remain η-Einstein.
💡
Sonuç & Katkı:Finally, the existence of such manifold is ensured by a non-trivial example.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The object of the present paper is to study generalized weakly symmetric and weakly Ricci symmetric (LCS)n-manifolds. Our aim is to bring out different type of curvature restrictions for which (LCS)n-manifolds are sometimes Einstein and some other time remain η-Einstein. Finally, the existence of such manifold is ensured by a non-trivial example.

🔖

Bu Makaleye Atıf Yap

Baishya, K. K. (2022). On generalized weakly symmetric (LCS)n-manifolds. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 2, 427–438. https://ajindex.com/articles/530512

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (20)

  1. H. Bağdatlı Yılmaz, On decomposable almost pseudo conharmonically symmetric manifolds, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 51 (1), 111- 124, 2012
  2. H. Bağdatlı Yılmaz, On Almost Pseudo Quasi-Conformally Symmetric Manifolds, pre-print
  3. K.K. Baishya, On generalized weakly symmetric manifolds, Bull. Transilv. Univ. Braÿsov Ser. III 10 (59), 31-38, 2017
  4. K.K. Baishya, On generalized semi-pseudo symmetric manifold, submitted
  5. K.K. Baishya and P.R. Chowdhury, η-Ricci solitons in (LCS)n-manifolds, Bull. Tran- silv. Univ. Braÿsov Ser. III 9 (58), 1-12, 2016
  6. K.K. Baishya, P.R. Chowdhury, M. Josef and P. Peska, On almost generalized weakly symmetric Kenmotsu manifolds, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathe- matica 55 (2), 5-15, 2016
  7. E. Cartan, Sur une classes remarquable d’espaces de Riemannian, Bull. Soc. Math. France 54, 214-264, 1926
  8. M.C. Chaki, On pseudo symmetric manifolds, Analele Ştiinţifice Ale Univer ̆siţatii "AL I.Cuza’" Din Iaşi 33, 53-58, 1987
  9. M.C. Chaki and T. Kawaguchi, On almost pseudo Ricci symmetric manifolds, Tensor 68 (1), 10-14, 2007
  10. U.C. De and S. Bandyopadhyay, On weakly symmetric spaces, Acta Math. Hung. 83, 205-212, 2000
  11. R.S.D. Dubey, Generalized recurrent spaces, Indian J. Pure Appl. Math. 10 (12), 1508-1513, 1979
  12. S.K. Hui and M. Atceken, Contact warped productsemi-slant submanifolds of (LCS)n- manifolds, Acta Univ. Sapientiae Mathematica 3 (2), 212-224, 2011
  13. J.P. Jaiswal and R.H. Ojha, On weakly pseudo-projectively symmetric manifolds, Dif- ferential Geometry - Dynamical Systems 12, 83-94, 2010
  14. F. Malek and M. Samawaki, On weakly symmetric Riemannian manifolds, Differential Geometry - Dynamical Systems, 10, 215-220, 2008
  15. C.A. Mantica and L.G. Molinari, Weakly Z-symmetric manifolds, Acta Math. Hungar. 135, 80-96, 2012
  16. C.A. Mantica and L.G. Molinari, Twisted Lorentzian manifolds: a characterization with torse-forming time-like unit vectors, Gen. Relativ. Gravit. 49:51, 2017
  17. C.A. Mantica and L.G. Molinari, Generalized Robertson-Walker space-times, a survey, Int. J. Geom. Meth. Mod.Phys. 14 (3), 1730001, 2017
  18. C.A. Mantica and Y.J. Suh, Pseudo Z-symmetric Riemannian manifolds with har- monic curvature tensors, Int. J. Geom. Meth. Mod. Phys. 9, 1250004, 2012
  19. D. Narain and S. Yadav, On weak concircular symmetries of (LCS)2n+1-manifolds, Global Journal of Science Frontier Research 12, 85-94, 2012
  20. B. O’Neill, Sem