On Ricci pseudo-symmetric super quasi-Einstein Hermitian manifolds
Year 2020,
Volume: 69 Issue: 1, 172 - 182, 30.06.2020
Brijesh Gupta
,
B. B. Chaturvedi
Abstract
The present paper deals the study of a Bochner Ricci pseudosymmetric super quasi-Einstein Hermitian manifold and a holomorphically projective Ricci pseudo-symmetric super quasi-Einstein Hermitian manifold.
References
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Year 2020,
Volume: 69 Issue: 1, 172 - 182, 30.06.2020
Brijesh Gupta
,
B. B. Chaturvedi
References
- Shaikh, A. A., On pseudo quasi Einstein manifold, Period. Math. Hungar., 59(2009),119-146.
- Walker, A. G., On Ruse's spaces of recurrent curvature. Proc. London Math. Soc. 52(1950), 36-64.
- Besse, A. L., Einstein manifolds, Ergeb. Math. Grenzgeb., 3 Folge, Bd. 10, Berlin, Heidelberg, New York: Springer-Verlag, 1987.
- Chaturvedi, B. B. and Gupta, B. K., On Bochner Ricci semi-symmetric Hermitian manifold, Acta Math. Univ. Comenianae, 87, 1 (2018), 25-34.
- Gupta, B. K., Chaturvedi, B. B. and Lone, M. A., On Ricci semi-symmetric mixed super quasi-Einstein Hermitian manifold, Differential Geometry-Dynamical Systems, 20 (2018), 72-82.
- Özgür, C. and Sular, S., On N(k)-quasi-Einstein manifolds satisfying certain conditions, Balkan J. Geom. Appl., 13(2008), 74-79.
- Prakasha, D. G. and Venkatesha, H., Some results on generalised quasi-Einstein manifolds, Chinese Journal of Mathematics (Hindawi Publishing Corporation), 2014.
- Chaki, M. C. and Maity, R. K., On quasi-Einstein manifolds, Publ. Math. Debrecen, 57(2000), 297-306.
- Chaki, M. C., On generalized quasi-Einstein manifolds, Publ. Math. Debrecen, 58(2001), 683-691.
- Chaki, M.C., On super quasi-Einstein manifold, Publ. Math. Debrecen, 64(2004), 481-488.
- Tripathi, M. M. and Kim, J.S., On N(k)-quasi-Einstein manifolds, Commun. Korean Math. Soc., 22(3)2007, 411-417.
- Deszcz, R., On pseudo symmetric spaces, Bull. Soc. Math. Belg. Ser. A 44(1992)1-34.
- Mishra, R. S., On almost Hermite spaces II. Nijenhuis tensor, Indian J. Math. 9 (1967), 161-168.
- Bochner, S., Curvature and Betti numbers II. Ann. of Math., 50(1949), 77-93.
- Hui, S. K. and Lemence, R. S., On generalized quasi Einstein manifold admitting W₂-curvature tensor, Int. Journal of Math. Analysis, Vol. 6, 2012, no. 23, 1115 - 1121.
- Adati, T. and Miyazawa, T., On a Riemannian space with recurrent conformal curvature. Tensor N. S. 18(1967), 348-354.
- De, U. C. and Ghosh, G. C., On quasi-Einstein and special quasi-Einstein manifolds, Proc.of the Conf. of Mathematics and its applications. Kuwait University, April 5-7 (2004), 178-191.
- Szabo, Z. I., Structure theorems on Riemannian spaces satisfying R(X,Y).R=0. the local version. J. Diff. Geom. 17(1982), 531-582.
- Defever, F., Ricci-semisymmetric hypersurfaces, Balkan Journal of Geometry and Its Appl. 5(2000), 81-91.
- Yano, K., Differential geometry of complex and almost complex spaces, Pergamon Press, New York, 1965.