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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2020 / Cilt: 10 - Sayı: 2

Conformally Flat Minimal C-Totally Real Submanifolds of (k,μ)-Nullity Space Forms

(k,μ)-Nullity Uzay Formlarının Konformal Flat Minimal C-total Reel Altmanifoldları

Ahmet YILDIZ
Pages
494–505
Publication Date
2022-10-12
DOI
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In this paper we study conformally flat minimal C-totally real submanifolds of (k,μ)-nullity space forms.

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Objective & Hypothesis:In this paper we study conformally flat minimal C-totally real submanifolds of (k,μ)-nullity space forms.
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Key Findings & Data:In this paper we study conformally flat minimal C-totally real submanifolds of (k,μ)-nullity space forms.
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Conclusion & Impact:In this paper we study conformally flat minimal C-totally real submanifolds of (k,μ)-nullity space forms.
🔬Design:Research Article
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⚙️Variables:Domain Parameters

Abstract

In this paper we study conformally flat minimal C-totally real submanifolds of (k,μ)-nullity space forms.

Özet

Bu çalışmada ((k,μ)-nullity uzay formlarının konformal flat minimal C-total reel altmanifoldlarını çalıştık.

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Cite This Article

YILDIZ, A. (2022). Conformally Flat Minimal C-Totally Real Submanifolds of (k,μ)-Nullity Space Forms. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 - Sayı: 2, 494–505. https://ajindex.com/articles/428436

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References (13)

  1. Chen B.Y., Ogiue K., On totally real submanifolds, Transactions of the American Mathematical Society, 193, 257-266, 1974
  2. Blair D.E., Contact manifolds in Riemannian geometry, Lectures Notes in Mathematics 509, Springer-Verlag, Berlin, 146p, 1976
  3. Yamaguchi S., Kon M., Ikawa T., C-totally real submanifolds, Journal of Differential Geometry, 11, 59-64, 1976
  4. Blair D.E., Ogiue K., Geometry of ıntegral submanifolds of a contact distribution, Illinois Journal of Mathematics, 19, 269-275, 1975
  5. Verheyen P., Verstraelen L., Conformally flat C-totally real submanifolds of Sasakian space forms, Geometriae Dedicata, 12, 163-169, 1982
  6. Tanno S., Ricci Curvatures of Contact Riemannian manifolds, Tôhoku Mathematical Journal, 40, 441-448, 1988
  7. Blair D.E., Ogiue K., Positively curved ıntegral submanifolds of a contact distribution, Illinois Journal of Mathematics, 19, 628-631, 1975
  8. Blair D.E., Koufogiorgos T., Papantoniou, B.J., Contact metric manifolds satisfying a nullity condition, Israel Journal of Mathematics, 91,189-214, 1995
  9. Verstraelen L., Vrancken L., Pinching Theorems for C-Totally Real Submanifolds of Sasakian Space Forms, Journal of Geometry, 33, 172-184, 1988
  10. Koufogiorgos T., Contact Riemannian manifolds with constant 𝜑. -sectional curvature, Geometry and Topology of Submanifolds VIII, World Scientific, 1996, ISBN 981-02-2776-0
  11. Yano K., Kon M., Structures on manifolds, World Scientific, 508p, 1984
  12. Yano K., Kon M., Anti-invariant submanifolds of a Sasakian Space Forms, Tôhoku Mathematical Journal, 29, 9-23, 1976
  13. Yano K., Kon M., Anti-Invariant submanifolds, Marcel Dekker, New York. 185p, 1978.