Research Article

Generalized projective curvature tensor of nearly cosymplectic manifold

Volume: 69 Number: 1 June 30, 2020
EN

Generalized projective curvature tensor of nearly cosymplectic manifold

Abstract

In this paper, we concentrated our attention on geometry of generalized projective tensor of nearly cosymplectic manifold. In particular, we studied the flatness property of generalized projective tensor. This property helped us to find the necessary and sufficient condition that nearly cosymplectic manifold is a generalized Einstein manifold.

Keywords

References

  1. Abood, H. M., Abd Ali, H. G., Geometry of Projective Tensor of Viasman-Gray Manifold, British Journal of Mathematics and Computer Science, V. 14, No. 6, (2016), 1-9.
  2. Abood, H. M., Abd Ali, H. G., Projective-Recurrent Viasman-Gray manifold, Asian Journal of Mathematics and Computer Research, V. 13, No. 3, (2016), 184-191.
  3. Abood, H. M., Holomorphic-geodesic transformation of almost Hermitian manifold, Ph.D. thesis, Moscow state University, Moscow, 2002.
  4. Abood, H. M., Mohammed N. J., Locally Conformal Kähler Manifold of Pointwise Holomorphic Sectional Curvature Tensor, International Mathematical Forum, V. 5, No. 45, (2010), 2213-2224.
  5. Abood, H. M., Mohammed N. J., Nearly Cosymplectic Manifold of Holomorphic Sectional Curvature Tensor, Far East Journal of Mathematical Science, V. 106, No. 1, (2018), 171-181.
  6. Atceken, M., On Generalized Sasakian Space Forms Satisfying Certain Conditions On The Concircular Curvature Tensor, Bulletain of Mathematical Analysis and Applications, V. 6, (2014), 1-8.
  7. Atceken, M., Yildirim U., Almost C(α)-manifolds Satisfying Certain Conditions, Advanced Studies in Contemporary Mathematics, V. 26, N. 3, (2016), 567-578.
  8. Blair, D. E., The Theory of Quasi - Sasakian Structures, J. Differential Geometry, No. 1, (1967), 331-345.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

June 20, 2018

Acceptance Date

September 30, 2019

Published in Issue

Year 2020 Volume: 69 Number: 1

APA
Abood, H., & Mohammed, N. (2020). Generalized projective curvature tensor of nearly cosymplectic manifold. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 183-192. https://doi.org/10.31801/cfsuasmas.421435
AMA
1.Abood H, Mohammed N. Generalized projective curvature tensor of nearly cosymplectic manifold. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):183-192. doi:10.31801/cfsuasmas.421435
Chicago
Abood, Habeeb, and Nawaf Mohammed. 2020. “Generalized Projective Curvature Tensor of Nearly Cosymplectic Manifold”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 183-92. https://doi.org/10.31801/cfsuasmas.421435.
EndNote
Abood H, Mohammed N (June 1, 2020) Generalized projective curvature tensor of nearly cosymplectic manifold. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 183–192.
IEEE
[1]H. Abood and N. Mohammed, “Generalized projective curvature tensor of nearly cosymplectic manifold”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 183–192, June 2020, doi: 10.31801/cfsuasmas.421435.
ISNAD
Abood, Habeeb - Mohammed, Nawaf. “Generalized Projective Curvature Tensor of Nearly Cosymplectic Manifold”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 183-192. https://doi.org/10.31801/cfsuasmas.421435.
JAMA
1.Abood H, Mohammed N. Generalized projective curvature tensor of nearly cosymplectic manifold. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:183–192.
MLA
Abood, Habeeb, and Nawaf Mohammed. “Generalized Projective Curvature Tensor of Nearly Cosymplectic Manifold”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 183-92, doi:10.31801/cfsuasmas.421435.
Vancouver
1.Habeeb Abood, Nawaf Mohammed. Generalized projective curvature tensor of nearly cosymplectic manifold. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):183-92. doi:10.31801/cfsuasmas.421435

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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