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Dergiler / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 1

Slant submanifolds of Kaehler Product Manifolds

Bayram ŞAHİN
Sadık KELEŞ
Sayfa
65–77
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also obtain some curvature inequalities in terms of scalar curvature and Ricci tensor.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we study slant submanifolds of a Kaehler product manifold.
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Temel Bulgular & Veri:We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold.
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Sonuç & Katkı:We also obtain some curvature inequalities in terms of scalar curvature and Ricci tensor.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Slant Submanifold · Kaehler Manifold · Ricci tensor

Özet

In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature inequalities in terms of scalar curvature and Ricci tensor.

Abstract

In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature inequalities in terms of scalar curvature and Ricci tensor.

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Bu Makaleye Atıf Yap

ŞAHİN, B., KELEŞ, S. (2022). Slant submanifolds of Kaehler Product Manifolds. Turkish Journal of Mathematics, Cilt: 31 - Sayı: 1, 65–77. https://ajindex.com/articles/608640

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Kaynakça (6)

  1. Bejancu, A.: Geometry of CR-Submanifolds, Kluwer, Dortrecht (1986)
  2. Chen, B. Y.: Geometry of slant submanifolds, K.U. Leuven, (1990)
  3. Matsumoto, K. On submanifolds of locally product Riemannian Manifolds, TRU Math. 18 (2), 145-157, (1982)
  4. Senlin, X. and Yilong, N.: Submanifoldsof product Riemannian manifold. Acta Math. Sci. Ser. B Engl. Ed. 20, no. 2, 213-218, (2000
  5. Shahid, M. H.: CR-submanifolds of Kaehlerian product manifold, Indian J. Pure and Appl. Math, 23 (12), 873-879, (1992)
  6. Yano, K. and Kon, M.: Structures on Manifolds, World Scientific (1984).