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On Almost Pseudo Conharmonically Symmetric Manifolds

Prajjwal Pal
경북대학교 자연과학대학 수학과|2014.12|Kyungpook Mathematical Journal|제54권 제4호|pp. 699-714|DOI http://dx.doi.org/10.5666/KMJ.2014.54.4.699

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참고문헌

키워드

Pseudo Ricci symmetric manifoldsAlmost pseudo Ricci symmetric manifoldsAlmost pseudo conharmonically symmetric manifolds
주제분류수학

초록

The object of the present paper is to study almost pseudo conharmonicallysymmetric manifolds. Some geometric properties of almost pseudo conharmonically symmetricmanifolds have been studied under certain curvature conditions. Finally, we givethree examples of almost pseudo conharmonically symmetric manifolds.

Abstract

The object of the present paper is to study almost pseudo conharmonicallysymmetric manifolds. Some geometric properties of almost pseudo conharmonically symmetricmanifolds have been studied under certain curvature conditions. Finally, we givethree examples of almost pseudo conharmonically symmetric manifolds.

참고문헌 (25)

  1. Abdussattar, D. B., "On conharmonic transformation in general relativity", Bull. Cal. Math. Soc., 6, pp.465~470 (1996)
  2. Adati, T., "On a Riemannian space with recurrent conformal curvature", Tensor(N.S.), 18, pp.348~354 (1967)
  3. Ahsan, Z., "Anamaya Publishers" (2008)
  4. Binh, T. Q., "On weakly symmetric Riemannian spaces", Publ. Math. Debrecen, 42, pp.103~107 (1993)
  5. Cartan, E, "Sur une classes remarquable d'espaces de Riemannian", Bull. Soc. Math. France, 54, pp.214~264 (1926)
  6. Chaki, M. C, "On conformally symmetric spaces", Indian J. Math., 5, pp.113~122 (1963)
  7. Chaki, M. C., "On pseudo symmetric manifolds", Ann. St. Univ. "Al I Cuza" Iasi, 33, pp.53~58 (1987)
  8. De, U. C., "On weakly symmetric spaces", Publ. Math. Debrecen, 54, pp.377~381 (1999)
  9. De, U. C., "On weakly symmetric spaces", Acta Math. Hungarica, 83(3), pp.205~212 (2000)
  10. De, U. C, "On almost pseudo symmetric manifolds", Annales Univ. Sci. Budapest, 51, pp.53~68 (2008)
  11. De, U. C., "On almost pseudo conformally symmetric manifolds", Demonstratio Mathematica, 4, pp.869~886 (2009)
  12. Uday Chand De, "On Conformally flat Almost Pseudo Ricci Symmetric Manifolds", Kyungpook Mathematical Journal, 49(3), pp.507~520 (2009), 경북대학교 자연과학대학 수학과
  13. De, U. C., "On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity", Czechoslovak Math. J., 62, pp.1055~1072 (2012)
  14. De, U. C, "On almost pseudo concircularly symmetric mani-folds", The Journal of Mathematics and Computer Science, 4, pp.317~330 (2012)
  15. Deszcz, R., "On some class of wraped product manifolds", Bull. Inst. Math. Acad. Sinica, 19, pp.311~322 (1987)
  16. Gray, A., "Einstein-like manifolds which are not Einstein", Geom. Dedicata, 7, pp.259~280 (1978)
  17. Ishii, Y., "On conharmonic transformation in general relativity", The Tensor Society. Tensor. New Series, 7, pp.73~80 (1957)
  18. O'Neill, B., "Semi-Riemannian Geometry with Applications to the Relativity" (1983), Academic Press
  19. Ozgur, C., "On Φ-conformally flat Lorentzian para-Sasakian manifolds", Radovi Matematicki, 12, pp.99~106 (2003)
  20. Prvanovic, M., "On weakly symmetric Riemannian manifolds", Publ. Math. Debrecen, 46, pp.19~25 (1995)
  21. Prvanovic, M., "On totally umbilical submanifolds immersed in a weakly symmetric Riemannian manifold", Yzves. Vuz. Matematika(Kazan), 6, pp.54~64 (1998)
  22. Roter, W., "On conformally symmetric Ricci-recurrent spaces", Colloquium Mathematicum., 31, pp.87~96 (1974)
  23. Siddiqui, S. A., "Conharmonic curvature tensor and the space time of general relativity", Differential Geometry-Dynamical Systems, 12, pp.213~220 (2010)
  24. Tamassy, L., "On weakly symmetric and weakly projectively symmetric Riemannian manifolds", Colloq. Math. Soc. Janos Bolyai, 56, pp.663~670 (1989)
  25. Walker, A. G, "On Ruse's space of recurrent curvature", Proc. of London Math. Soc., 52, pp.36~54 (1950)

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