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On a class of N(k)-quasi einstein manifolds

Uday Chand De|Avik De|Abul Kalam Gazi
대한수학회 (The Korean Mathematical Society)|2011.10|대한수학회논문집 (Communications of the KMS)|제26권 제4호|pp. 623-634

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참고문헌

키워드

conformal curvature tensorquasi Einstein manifoldsN(k)-quasi Einstein manifoldspseudo Ricci symmetric spacetimes
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초록

The object of the present paper is to study N(k)-quasi Einstein manifolds. Existence of N(k)-quasi Einstein manifolds are proved. Physical example of N(k)-quasi Einstein manifold is also given. Finally, Weyl-semisymmetric N(k)-quasi Einstein manifolds have been considered.

Abstract

The object of the present paper is to study N(k)-quasi Einstein manifolds. Existence of N(k)-quasi Einstein manifolds are proved. Physical example of N(k)-quasi Einstein manifold is also given. Finally, Weyl-semisymmetric N(k)-quasi Einstein manifolds have been considered.

참고문헌 (31)

  1. T. Adati, "Special para-Sasakian manifolds D-conformal to a manifold of constant curvature", TRU Math, 19(2), pp.179~193 (1983)
  2. T. Adati, "Special para-Sasakian manifolds and concircular transformations", TRU Math, 20(1), pp.111~123 (1984)
  3. T. Adati, "On paracontact Riemannian manifolds", TRU Math, 13(2), pp.27~39 (1977)
  4. A. L. Besse, "Einstein Manifolds", Ergeb. Math. Grenzgeb., 3. Folge, Bd, 3(10) (1987), Springer- Verlag
  5. M. C. Chaki, "On generalized quasi-Einstein manifolds", Publ. Math. Debrecen, 58(4), pp.683~691 (2001)
  6. M. C. Chaki, "On pseudo Ricci-symmetric manifolds", Bulg. J. Physics, 15, pp.526~531 (1988)
  7. M. C. Chaki, "On conformally symmetric spaces", Indian J. Math, 5, pp.113~122 (1963)
  8. M. C. Chaki, "On quasi Einstein manifolds", Publ. Math. Debrecen, 57(3), pp.297~306 (2000)
  9. G. Chuman, "D-conformal changes in para-Sasakian manifolds", Tensor (N.S.), 39, pp.117~123 (1982)
  10. U. C. De, "On pseudo Ricci symmetric manifolds", Al. I. CUZA" Iasi. Matematica
  11. U. C. De, "On quasi Einstein and special quasi Einstein manifolds", Proc. of the Int. Conf. of Mathematics and its applications, Kuwait University, 5(7), pp.178~191 (2004)
  12. U. C. De, "On quasi-Einstein manifolds", Period. Math. Hungar, 48(1), pp.223~231 (2004)
  13. U. C. De, "On conformally at special quasi-Einstein manifolds", Publ. Math. Debrecen, 66(1), pp.129~136 (2005)
  14. R. Deszcz, "On curvature properties of quasi-Einstein hyper- surfaces in semi-Euclidean spaces", Soochow J. Math, 27(4), pp.375~389 (2001)
  15. A. Einstein, "Grundzuge der relativitats theory" (2002), Berlin, Springer
  16. M. S. El Naschie, "Is Einstein's general eld equation more fundamental than quantum eld theory and particle physics", Chaos, Solutions and Fractals, 30(3), pp.525~531 (2006)
  17. M. S. El Naschie, "dualities and high energy particle in E-innity", Chaos, Solu- tions and Fractals, 25(3), pp.759~764 (2005)
  18. S. R. Guha, "On quasi-Einstein and generalized quasi-Einstein manifolds", Facta Univ. Ser. Mech. Automat. Control Robot, 3(14), pp.821~842 (2003)
  19. C. Ozgur, "N(k)-quasi Einstein manifolds satisfying certain conditions", Chaos Solitons Fractals, 38(5), pp.1373~1377 (2008)
  20. C. Ozgur, "On the concircular curvature tensor of an N(k)-quasi Einstein manifold", Math. Pannon, 18(1), pp.95~100 (2007)
  21. F. Ozen, "On weakly and pseudo-symmetric Riemannian spaces", Indian J. Pure appl. Math, 33, pp.1477~1488 (2002)
  22. S. Ray-Guha, "On perfect uid pseudo Ricci symmetric spacetime", Tensor, N. S, 67, pp.101~107 (2006)
  23. R. N. Sen, "On curvature restriction of a certain kind of conformally at Riemannian spaces of class-one", Proc. Nat. Inst. Sci. India Part A, 33, pp.100~102 (1967)
  24. R. Sharma, "Proper conformal symmetries of conformal symmetric space-times", J. Math. Phys, 29(11), pp.2421~2422 (1988)
  25. H. Stephant, "Some new algebraically special radiation eld solutions connected with Hauser's type N vacuum solution", Abstracts of GR9, Jena, ~ (1980)
  26. Z. I. Szabo, "Structure theorems on Riemannian spaces satisfying R(X; Y )  R = 0. I. The local version", J. Differential Geom, 17(4), pp.531~582 (1982)
  27. Z. I. Szabo, "Classi cation and construction of complete hypersurfaces satisfying R(X; Y )  R = 0", Acta Sci. Math. (Szeged), 47(3), pp.321~348 (1984)
  28. Z. I. Szabo, "Structure theorems on Riemannian spaces satisfying R(X; Y ):R = 0. II. Global version, Geom", Dedicata, 19(1), pp.65~108 (1985)
  29. L. Tamassy, "On weakly symmetries of Einstein and Sasakian manifolds", Tensor. N. S, 53, pp.140~148 (1993)
  30. S. Tanno, "Ricci curvatures of contact Riemannian manifolds", Tohoku Math. J, 40(3), pp.441~448 (1988)
  31. Mukut Mani Tripathi, "On $N(k)$-quasi Einstein manifolds", 대한수학회논문집, 22(3), pp.411~417 (2007), 대한수학회

관련 논문AI추천

Z Tensor on N(k)-Quasi-Einstein ManifoldsSahanous Mallick, Uday Chand De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호On some classes of generalized quasi-Einstein manifoldsAbsos Ali Shaikh, Shyamal Kumar Hui대한수학회 · 대한수학회논문집2009 · 제24권 제3호On quasi Einstein manifoldsBiman Kanti De, Uday Chand De대한수학회 · 대한수학회논문집2008 · 제23권 제3호QUASI-CONFORMAL CURVATURE TENSOR ON N (k)-QUASI EINSTEIN MANIFOLDSAvijit Sarkar, Dipankar Hazra강원경기수학회 · 한국수학논문집2021 · 제29권 제4호Super Quasi-Einstein Manifolds with Applications to General RelativitySahanous Mallick경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제2호ON CONFORMAL AND QUASI-CONFORMAL CURVATURE TENSORS OF AN N(k)-QUASI EINSTEIN MANIFOLDAbolfazl Taleshian, Aliakbar Hosseinzadeh대한수학회 · 대한수학회논문집2012 · 제27권 제2호

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