Dergiler / Gazi University Journal of Science / 2026 / Volume: 29 Issue: 3

The Smallest Dimension Submanifolds of Para 

THE SMALLEST DİMENSİON SUBMANİFOLDS OF PARA B-KENMOTSU MANİFOLD

Sayfa
—
Yayın Tarihi
2016-09-30
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)

After, we study 3-dimensional minimal slant submanifolds of para Kenmotsu manifold.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we study smallest dimensional submanifold of para Kenmotsu manifold.
📊
Temel Bulgular & Veri:Necessary and sufficient conditions are given on a 3-dimensional submanifolds of 5-dimensional para Kenmotsu manifold to be slant submanifold.
💡
Sonuç & Katkı:After, we study 3-dimensional minimal slant submanifolds of para Kenmotsu manifold.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Para Kenmotsu manifold · smallest dimension · slant submanifold

Abstract

In this paper, we study smallest dimensional submanifold of para Kenmotsu manifold. Necessary and sufficient conditions are given on a 3-dimensional submanifolds of 5-dimensional para Kenmotsu manifold to be slant submanifold. After, we study 3-dimensional minimal slant submanifolds of para Kenmotsu manifold.

🔖

Bu Makaleye Atıf Yap

Vanlı, A. T., Sarı, R. (2016). The Smallest Dimension Submanifolds of Para . Gazi University Journal of Science, Volume: 29 Issue: 3. https://ajindex.com/articles/1269493

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Progress in MathematicsVol. 203, Birkhauser, Boston, 2002.
  2. J. L.Cabrerizo, A. Carriazo and L.M. Fernandez, Slant submanifolds in Sasakian manifolds. Glasgow Math. J. 42 (2000), 125-138.
  3. A. Carriazo, New developments in slant submanifolds theory. In Applicable Mathematics in the Golden Age (2002), 339–356.
  4. A. Carriazo, L.M. Fernandez and M.B. Hans-Uber, Minimal slant submanifolds of the smallest dimension in S-manifold, Rev.Mat. Iberoamericana 21 (2005), 47-66.
  5. B.Y. Chen, Geometry of Slant Submanifolds, Katholieke Universiteit Leuven, 1990.
  6. B.Y. Chen, Slant Immersions, Bull, Australian Math. Soc. 41 (1990), 135-147.
  7. R.S. Gupta, and P.K. Pandey, Structure on a slant submanifold of a Kenmotsu manifold. Differential Geometry-Dynamical Systems 10 (2008), 139-147.
  8. R.S. Gupta,S.M.K. Haider and M.H. Shaid, Slant submanifolds of Kenmotsu manifolds,Radovi Math., 12 (2004), 205-214.
  9. A. Lotta, Slant submanifolds in contact geometry. Bull. Math. Soc. Roumanie. 39 (1996), 183-198.
  10. A.Lotta, Three dimensional slant submanifolds of K-contact manifolds, Balkan J. Geom. Appl., 3 (1) (1998), 37-51.
  11. I. Sato, On a structure similar to the almost contact structure, Tensor (N.S.), 30 (1976), 219-224.
  12. Z. Olszak, The Schouten-Van Kampen Affine Connection Adapted to an Almost Para Contact Metric Structure, Pub. de Linst. Math., 94(108), (2013), 31-42.