On E Recurrent Generalized Sasakian-Space-Forms

1
Dr. Venkatesha
Dr. Venkatesha
2
Sumangala. B
Sumangala. B
3
C. S. Bagewadi
C. S. Bagewadi
1 Kuvempu University

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The object of this paper is to study ∅-recurrent generalized Sasakian-space-forms. It is proved that a ∅-recurrent generalized Sasakian-space-forms is an 𝛈𝛈 -Einstein manifold, provided f 1f 3 ≠ 0 and ∅-recurrent generalized Sasakian-space-form having a non-zero constant sectional curvature is locally ∅-symmetric.

13 Cites in Articles

References

  1. Alfonso Carriazo,David Blair,Pablo Alegre (2005). proceedings of the Ninth International Workshop on Differential Geometry.
  2. P Alegre,D Blair,A Carriazo (2004). Generalized Sasakian-space-forms.
  3. Pablo Alegre,Alfonso Carriazo (2008). Structures on generalized Sasakian-space-forms.
  4. M Belkhelfa,R Deszcz,L Verstraelen (2005). Symmetric properties of Sasakianspace-forms.
  5. D Blair (1976). Contact manifolds in Riemannian geometry.
  6. U De,A Sarkar (2010). Some result on Generalized Sasakian-space-forms.
  7. U De,Ahmet Yildiz,A Yaliniz (2009). On ∅-recurrent Kenmotsu manifolds.
  8. U De,A Sarkar (2010). On the Projective Curvature tensor of Generalized Sasakian-space-forms.
  9. U De,A Shaikh,Sudipta Biswas (2003). On ∅-recurrent Sasakian manifold.
  10. Toshio Takahashi (1977). Sasakian $\phi $-symmetric spaces.
  11. Venkatesha,C Bagewadi,K Pradeep Kumar (2008). Some Results on Lorentzian Para-Sasakian Manifolds.
  12. C Venkatesha,Bagewadi (2006). On Pseudo projective ∅-recurrent Kenmotsu manifolds.
  13. A Sarkar,U De (2012). Some curvature properties of generalized Sasakian-space-forms.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Dr. Venkatesha. 2012. \u201cOn E Recurrent Generalized Sasakian-Space-Forms\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F9): .

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Issue Cover
GJSFR Volume 12 Issue F9
Pg. 63- 70
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

Issue date

August 7, 2012

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English

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The object of this paper is to study ∅-recurrent generalized Sasakian-space-forms. It is proved that a ∅-recurrent generalized Sasakian-space-forms is an 𝛈𝛈 -Einstein manifold, provided f 1f 3 ≠ 0 and ∅-recurrent generalized Sasakian-space-form having a non-zero constant sectional curvature is locally ∅-symmetric.

The object of this paper is to study ∅-recurrent generalized Sasakian-space-forms. It is proved that a ∅-recurrent generalized Sasakian-space-forms is an 𝛈𝛈 -Einstein manifold, provided f 1f 3 ≠ 0 and ∅-recurrent generalized Sasakian-space-form having a non-zero constant sectional curvature is locally ∅-symmetric.

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On E Recurrent Generalized Sasakian-Space-Forms

Dr. Venkatesha
Dr. Venkatesha Kuvempu University
Sumangala. B
Sumangala. B
C. S. Bagewadi
C. S. Bagewadi

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