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Dergiler / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 3

Contact CR-warped product submanifolds in generalized Sasakian space forms

Cihan ÖZGÜR
Sibel SULAR
Sayfa
485–497
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We show that M is a contact CR-product under certain conditions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We consider a contact CR-warped product submanifold M=M\top \timesfM\bot of a trans-Sasakian generalized Sasakian space form \widetilde{M} (f1,f2,f3).
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Temel Bulgular & Veri:We consider a contact CR-warped product submanifold M=M\top \timesfM\bot of a trans-Sasakian generalized Sasakian space form \widetilde{M} (f1,f2,f3).
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Sonuç & Katkı:We show that M is a contact CR-product under certain conditions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Warped product manifold · contact CR-warped product submanifold · trans-Sasakian manifold

Özet

We consider a contact CR-warped product submanifold M=M\top \timesfM\bot of a trans-Sasakian generalized Sasakian space form \widetilde{M} (f1,f2,f3). We show that M is a contact CR-product under certain conditions.

Abstract

We consider a contact CR-warped product submanifold M=M\top \timesfM\bot of a trans-Sasakian generalized Sasakian space form \widetilde{M} (f1,f2,f3). We show that M is a contact CR-product under certain conditions.

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Bu Makaleye Atıf Yap

ÖZGÜR, C., SULAR, S. (2022). Contact CR-warped product submanifolds in generalized Sasakian space forms. Turkish Journal of Mathematics, Cilt: 36 - Sayı: 3, 485–497. https://ajindex.com/articles/608373

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Kaynakça (11)

  1. Arslan, K., Ezenta¸s, R., Mihai, I., Murathan, C.: Contact CR-warped product submanifolds in Kenmotsu space forms, J. Korean Math. Soc. 42, 1101–1110 (2005). At¸ceken, M.: Contact CR-warped product submanifolds in cosymplectic space forms, to appear in Collect. Math. Blair, D. E.: Contact manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer, Berlin, 1976.
  2. Chen, B. Y.: Geometry of submanifolds and its applications, Science University of Tokyo, Tokyo, 1981.
  3. Chen, B. Y.: Geometry of warped product CR-submanifolds in Kaehler manifold, Monatsh. Math. 133, 177–195 (2001).
  4. Chen, B. Y.: Geometry of warped product CR-submanifolds in Kaehler manifolds II, Monatsh. Math. 134, 103–119 (2001).
  5. Hasegawa, I., Mihai, I.: Contact CR-warped product submanifolds in Sasakian manifolds, Geom. Dedicata 102, –150 (2003).
  6. Kenmotsu, K.: A class of almost contact Riemannian manifolds, Tˆohoku Mathematical Journal 24, 93–103 (1972).
  7. Ludden, G. D.: Submanifolds of cosymplectic manifolds, Journal of Differential Geometry 4, 237–244 (1970).
  8. Mihai, I.: Contact CR-warped product submanifolds in Sasakian space forms, Geom. Dedicata, 109, 165–173, (2004). O’Neill, B.: Semi-Riemannian geometry with applications to relativity, Academic Press,
  9. N-Y, London 1983.
  10. Oubina, J. A.: New classes of almost contact metric structures, Publications Mathematicae Debrecen 32, 187–193 (1985).
  11. Sibel SULAR, Cihan ¨OZG ¨UR Department of Mathematics, Balıkesir University,, Balıkesir-TURKEY e-mails: [email protected], [email protected]