On Almost Generalized Weakly Symmetric $\alpha$-Cosymplectic Manifolds
Year 2020,
Volume: 3 Issue: 4, 156 - 159, 23.12.2020
Mustafa Yıldırım
,
Selahattin Beyendi
Abstract
In the present paper, we study the notions of an almost generalized weakly symmetric $\alpha$-cosymplectic manifolds and an almost generalized weakly Ricci-symmetrik $\alpha$-cosymplectic manifolds.
References
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[2] G. Ayar, S.K. Chaubey, M-Projective curvature tensor over cosymplectic manifolds, Differ. Geom. Dyn. Syst., 21(2019), 23-33.
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[3] K.K. Baishya, P.R. Chowdhury, J. Mikes, P. Peska, On almost generalized weakly symmetric Kenmotsu manifolds, Acta Univ. Palacki. Olomuc., Fac.
rer. nat., Mathematica, 55(2016), 2, 5-15.
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[4] S. Beyendi, G. Ayar, N. Aktan, On a type of a-cosymplectic manifolds, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(1)(2019), 852-861.
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[5] M.C. Chaki, T. Kawaguchi, On almast pseudo Ricci symmetric manifolds, Tensor, 68(1)(2017), 10-14.
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[6] M. C. Chaki, On pseudo Ricci symmetric manifolds, , Bulg. J. Physics, 15(1998), 526-531.
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[7] D.E. Blair, Contact manifolds in Riemannian geometry, , Lecture Notes in Math. 509, (1976), Springer-Verlag, Berlin.
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[8] R.S.D. Dubey, Generalized recurrent spaces, Indian J. Pure Appl. Math., 10(1979), 1508-1513.
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[9] H. Ozturk, C. Murathan, N. Aktan, A.T. Vanli, Almost a-cosymplectic f -manifolds, (2014), An. Stiint. Univ. Al. I. Cuza Iasi Inform. (N.S.) Matematica,
Tomul LX, f.1.
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[10] L.Tamassy, T.Q. Binh, On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc., J. Bolyai, 56(1989), 663-670.
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[11] M. Tarafdar, M.A.A. Jawarneh, Semi-pseudo Ricci symmetric manifold, J. Indian. Inst. of Science., 73(1993), 591-596.
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[12] T.W. Kim, H.K. Pak, Canonical foliations of certain classes of almost contact metric structures, , Acta Math, Sinica, Eng. Ser. Aug., 21(4)(2005),
841-846.
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[13] A.G. Walker, On Ruse’s space of recurrent curvature, Proc. of London Math. Soc. 52(1950), 36-54.
Year 2020,
Volume: 3 Issue: 4, 156 - 159, 23.12.2020
Mustafa Yıldırım
,
Selahattin Beyendi
References
-
[1] N. Aktan, M. Yıldırım, C. Murathan,Almost f -cosymplectic manifolds, Mediterr. J. Math., 11(2014), 775-787.
-
[2] G. Ayar, S.K. Chaubey, M-Projective curvature tensor over cosymplectic manifolds, Differ. Geom. Dyn. Syst., 21(2019), 23-33.
-
[3] K.K. Baishya, P.R. Chowdhury, J. Mikes, P. Peska, On almost generalized weakly symmetric Kenmotsu manifolds, Acta Univ. Palacki. Olomuc., Fac.
rer. nat., Mathematica, 55(2016), 2, 5-15.
-
[4] S. Beyendi, G. Ayar, N. Aktan, On a type of a-cosymplectic manifolds, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 68(1)(2019), 852-861.
-
[5] M.C. Chaki, T. Kawaguchi, On almast pseudo Ricci symmetric manifolds, Tensor, 68(1)(2017), 10-14.
-
[6] M. C. Chaki, On pseudo Ricci symmetric manifolds, , Bulg. J. Physics, 15(1998), 526-531.
-
[7] D.E. Blair, Contact manifolds in Riemannian geometry, , Lecture Notes in Math. 509, (1976), Springer-Verlag, Berlin.
-
[8] R.S.D. Dubey, Generalized recurrent spaces, Indian J. Pure Appl. Math., 10(1979), 1508-1513.
-
[9] H. Ozturk, C. Murathan, N. Aktan, A.T. Vanli, Almost a-cosymplectic f -manifolds, (2014), An. Stiint. Univ. Al. I. Cuza Iasi Inform. (N.S.) Matematica,
Tomul LX, f.1.
-
[10] L.Tamassy, T.Q. Binh, On weakly symmetric and weakly projective symmetric Riemannian manifolds, Coll. Math. Soc., J. Bolyai, 56(1989), 663-670.
-
[11] M. Tarafdar, M.A.A. Jawarneh, Semi-pseudo Ricci symmetric manifold, J. Indian. Inst. of Science., 73(1993), 591-596.
-
[12] T.W. Kim, H.K. Pak, Canonical foliations of certain classes of almost contact metric structures, , Acta Math, Sinica, Eng. Ser. Aug., 21(4)(2005),
841-846.
-
[13] A.G. Walker, On Ruse’s space of recurrent curvature, Proc. of London Math. Soc. 52(1950), 36-54.