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Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 4

F- invariant submanifolds of Kaehlerian product manifold

Mehmet ATÇEKEN
Pages
367–381
Publication Date
2022-11-03
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvature invariant, totally geodesic, mixed geodesic submanifold and locally decomposable Riemannian product manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied.
📊
Key Findings & Data:In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied.
💡
Conclusion & Impact:The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvature invariant, totally geodesic, mixed geodesic submanifold and locally decomposable Riemannian product manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied. The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvature invariant, totally geodesic, mixed geodesic submanifold and locally decomposable Riemannian product manifold.

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Cite This Article

ATÇEKEN, M. (2022). F- invariant submanifolds of Kaehlerian product manifold. Turkish Journal of Mathematics, Cilt: 28 - Sayı: 4, 367–381. https://ajindex.com/articles/608788

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References (8)

  1. Atceken. M., and Kele§. S., On the Invariant Submanifolds of Product Riemannian Mani¬fold. Acta Mathematica Scientia. Vol.24, No.4(2004)(In press)
  2. Bejancu. A., Geometry of CR-Submanifold. Kluwer Academic Publ(1986)
  3. Chen, B.Y.,Geometry of Submanifolds. Marcel Dekker Inc., New York(1973)
  4. Chen, B.Y., Total Mean Curvature and Submanifolds of Finite Type. World Scientific Publishing Co. Pte. Ltd. (1984)
  5. K.,Yano and M., Kon. Structure on Manifolds. World Scientific Publishing Co.Ltd(1984)
  6. Matsumoto, K., On Submanifolds of Locally Product Riemannian Manifolds, TRU Math¬ematics 18-2(1982),145-157
  7. Senlin, X., and Yilong.N., Submanifolds of Product Riemannian Manifold. Acta Mathe-matica Scientia (2000), 20(B)213-218
  8. Shadid. M.H., CR-Submanifolds of Kaehlerian Product Manifold. Indian J. Pure Appl. Math.,23(12): 873-879(1992).