본문 바로가기
KERD
논문KCI 등재

On a type of generalized symmetric manifolds

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

The object of the present paper is to study generalized pseu\-do-projectively symmetric manifolds and Einstein generalized pseudo-project\-ively symmetric manifolds. Finally, the existence of generalized pseudo-projectively symmetric manifolds have been proved by two non-trivial examples.

Abstract

The object of the present paper is to study generalized pseu\-do-projectively symmetric manifolds and Einstein generalized pseudo-project\-ively symmetric manifolds. Finally, the existence of generalized pseudo-projectively symmetric manifolds have been proved by two non-trivial examples.

참고문헌 (29)

  1. T. Adati, "On conformally symmetric spaces", Tensor (N.S.), 18, pp.335~342 (1967)
  2. A. L. Besse, "Einstein Manifolds, Ergeb. Math. Grenzgeb. 3 Folge, Bd. 10" (1987), Springer-Verlag
  3. T. Q. Binh, "On weakly symmetric Riemannian spaces", Publ. Math. Debrecen, 42(1-2), pp.103~107 (1993)
  4. E. Cartan, "Sur une classe remarquable d'espaces de Riemann, Bull", Soc. Math. France, 54, pp.214~264 (1926)
  5. M. C. Chaki, "On pseudo symmetric manifolds", An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat, 33(1), pp.53~58 (1987)
  6. M. C. Chaki, "On conformally symmetric spaces", Indian J. Math, 5, pp.113~122 (1963)
  7. A. De, "On almost pseudo symmetric manifolds admitting a type of semi-symmetric non-metric connection", Acta Mathematica Hungarica, 125(1-2), pp.183~190 (2009), Springer Science and Business Media LLC[DOI]
  8. U. C. De, "On weakly symmetric Riemannian spaces", Publ. Math. Debrecen, 54(3-4), pp.377~381 (1999)
  9. U. C. De, "On almost pseudo symmetric manifolds", Ann. Univ. Sci. Budapest. Eotvos Sect. Math, 51, pp.53~68 (2008)
  10. U. C. De, "On almost pseudo conformally symmetric manifolds", Demonstratio Math, 42(4), pp.869~886 (2009)
  11. Uday Chand De, "On Conformally flat Almost Pseudo Ricci Symmetric Manifolds", Kyungpook Mathematical Journal, 49(3), pp.507~520 (2009), 경북대학교 자연과학대학 수학과
  12. U. C. De, "On almost pseudo concircularly symmetric manifolds", J. Math. Computer Sci, 4(3), pp.317~330 (2012)
  13. U. C. De, "On pseudo concircular symmetric manifolds", Bull. Calcutta Math. Soc, 84(1), pp.77~80 (1992)
  14. P. Desai, "On symmetric spaces", Tensor (N.S.), 29(2), pp.119~124 (1975)
  15. R. Deszcz, "On some class of warped product manifolds", Bull. Inst. Math. Acad. Sinica, 15(3), pp.311~322 (1987)
  16. A. Derdzinski, "Some theories of conformally symmetric manifolds", Tensor (N.S.), 32(1), pp.11~23 (1978)
  17. E. G lodek, "Some remarks on conformally symmetric Riemannian spaces", Colloq. Math, 23, pp.121~123 (1971)
  18. Sinem Güler, "Riemannian manifolds satisfying certain conditions on pseudo-projective curvature tensor", Filomat, 30(3), pp.721~731 (2016), National Library of Serbia[DOI]
  19. S. K. Hui, "On decomposable weakly conformally symmetric manifolds", Acta Mathematica Hungarica, 128(1-2), pp.82~95 (2010), Springer Science and Business Media LLC[DOI]
  20. J. P. Jaiswal, "On weakly pseudo-projectively symmetric manifolds", Dier. Geom. Dyn. Syst, 12, pp.83~94 (2010)
  21. R. S. Mishra, "Structures on a dierentiable manifold and their applications" (1984), Chandrama Prakashan
  22. B. O'Neill, "Semi-Riemannian Geometry" (1983), Academic Press, Inc
  23. B. Prasad, "A pseudo projective curvature tensor on a Riemannian manifold", Bull. Calcutta Math. Soc, 94(3), pp.163~166 (2002)
  24. A. A. Shaikh, "On weakly projective symmetric manifolds", Acta Math. Acad. Paedagog. Nyhazi. (N.S.), 25(2), pp.247~269 (2009)
  25. Z. I. Szabo, "Structure theorems on Riemannian spaces satisfying R(X, Y ) · R = 0. I. The local version", J. Dierential Geom, 17(4), pp.531~582 (1982)[DOI]
  26. L. Tamassy, "On weakly symmetric and weakly projective symmetric Riemannian manifolds, in Dierential geometry and its applications (Eger, 1989), 663-670", Colloq. Math. Soc. Janos Bolyai, 56 (1992), North-Holland
  27. S. V. Vishnuvardhana, "Almost pseudo symmetric Sasakian manifold admitting a type of quarter symmetric metric connection", Commun. Math, 23(2), pp.163~169 (2015)
  28. Yaning Wang, "Curvature properties of almost Kenmotsu manifolds with generalized nullity conditions", Filomat, 30(14), pp.3807~3816 (2016), National Library of Serbia[DOI]
  29. K. Yano, "Structures on manifolds" (1984), World Scientic Publishing Co

관련 논문AI추천

이 간행물의 다른 논문 (24건)