본문 바로가기
KERD
논문KCI 등재

Second order parallel tensors and Ricci solitons on $(LCS)_n$-manifolds

2

조회

0

다운로드

5

인용

0

참고문헌

키워드

주제분류수학

초록

The object of the present paper is to study the second order parallel symmetric tensors and Ricci solitons on $(LCS)_n$-manifolds. We found the conditions of Ricci soliton on $(LCS)_n$-manifolds to be shrinking, steady and expanding respectively.

Abstract

The object of the present paper is to study the second order parallel symmetric tensors and Ricci solitons on $(LCS)_n$-manifolds. We found the conditions of Ricci soliton on $(LCS)_n$-manifolds to be shrinking, steady and expanding respectively.

참고문헌 (33)

  1. S. R. Ashoka, "Certain results on Ricci solitons in -Sasakian manifolds, Hindawi Publ. Corporation", Geometry, 2013, pp.4~ (2013)
  2. S. R. Ashoka, "A geometry on Ricci solitons in (LCS)n-manifolds", Differ. Geom. Dyn. Syst, 16, pp.50~62 (2014)
  3. M. Atceken, "On geometry of submanifolds of (LCS)n-manifolds", Int. J. Math. Math. Sci, 2012, pp.11~ (2012)
  4. M. Atceken, "Slant and pseudo-slant submanifolds of LCS-manifolds", Czechoslovak Math. J, 63(1), pp.177~190 (2013)
  5. C. S. Bagewadi, "Ricci solitons in Lorentzian-Sasakian manifolds", Acta Math. Acad. Paedagog. Nyh´azi, 28(1), pp.59~68 (2012)
  6. C. L. Bejan, "Ricci solitons in manifolds with quasi constant cur-vature", Publ. Math. Debrecen, 78(1), pp.235~243 (2011)
  7. M. C. Chaki, "On pseudo Ricci symmetric manifolds", Bulgar. J. Phys, 15, pp.526~531 (1988)
  8. B. Y. Chen, "Geometry of compact shrinking Ricci solitons", Balkan J. Geom. Appl, 19(1), pp.13~21 (2014)
  9. Shyamal Kumar Hui, "On Φ-pseudo Symmetries of (LCS)n-Manifolds", Kyungpook Mathematical Journal, 53(2), pp.285~294 (2013), 경북대학교 자연과학대학 수학과[DOI]
  10. S. K. Hui, "Contact warped product semi-slant submanifolds of (LCS)n-manifolds", Acta Univ. Sapientiae Math, 3(2), pp.212~224 (2011)
  11. G. Ingalahalli, "Bagewadi, Ricci solitons in -Sasakian manifolds", ISRN Ge-ometry, 2012, pp.13~ (2012)
  12. H. Levy, "Symmetric tensors of the second order whose covariant derivatives vanish", Ann. of Math, 27(2), pp.91~98 (1925)
  13. K. Matsumoto, "On Lorentzian almost paracontact manifolds", Bull. Yamagata Univ. Nat. Sci, 12, pp.151~156 (1989)
  14. I. Mihai, "On Lorentzian para-Sasakian manifolds", pp.155~169 (1992), World Sci. Publ.
  15. H. G. Nagaraja, "Ricci solitons in Kenmotsu manifolds", J. Math. Anal, 3(2), pp.18~24 (2012)
  16. D. Narain, "On weak concircular symmetries of (LCS)2n+1-manifolds", Global J. Sci. Frontier Research, 12, pp.85~94 (2012)
  17. B. O’Neill, "Semi Riemannian Geometry with Applications to Relativity" (1983), Academic Press
  18. D. G. Prakasha, "On Ricci -recurrent (LCS)n-manifolds", Acta Univ. Apulensis Math. Inform, 24, pp.109~118 (2010)
  19. Absos Ali Shaikh, "On Lorentzian Almost Paracontact Manifolds with a Structure of the Concircular Type", Kyungpook Mathematical Journal, 43(2), pp.305~314 (2003), 경북대학교 자연과학대학 수학과
  20. Absos Ali Shaikh, "Some results on LCS_n-manifolds", 대한수학회지, 46(3), pp.449~461 (2009), 대한수학회
  21. A. A. Shaikh, "Some transformations on (LCS)n-manifolds", Tsukuba J. Math, 38(1), pp.1~24 (2014)
  22. A. A. Shaikh, "On concircular structure spacetimes", J. Math. Stat, 1(2), pp.129~132 (2005)
  23. A. A. Shaikh, "On concircular structure spacetimes II", Amer. J. Appl. Sci, 3(4), pp.1790~1794 (2006)
  24. A. A. Shaikh, "On locally -symmetric (LCS)n-manifolds", Int. J. Pure Appl. Math, 41(8), pp.1161~1170 (2007)
  25. A. A. Shaikh, "On the existence of -recurrent (LCS)n-manifolds", Extracta Math, 23(1), pp.71~83 (2008)
  26. A. A. Shaikh, "On weakly symmetric (LCS)n-manifolds", J. Adv. Math. Stud, 2(2), pp.103~118 (2009)
  27. A. A. Shaikh, "On generalized -recurrent (LCS)n-manifolds", AIP Conf. Proc, 1309, pp.419~429 (2010)
  28. R. Sharma, "Second order parallel tensor in real and complex space forms", Internat. J. Math. Math. Sci, 12(4), pp.787~790 (1989)
  29. R. Sharma, "Second order parallel tensor on contact manifolds", Algebras Groups Geom, 7(2), pp.145~152 (1990)
  30. R. Sharma, "Certain results on k-contact and (k, μ)-contact manifolds", J. Geom, 89(1-2), pp.138~147 (2008)
  31. T. Takahashi, "Sasakian -symmetric spaces", Tohoku Math. J, 29(1), pp.91~113 (1977)
  32. "2008", ~
  33. K. Yano, "Concircular geometry I. Concircular transformations", Proc. Imp. Acad. Tokyo, 16, pp.195~200 (1940)

관련 논문AI추천

이 간행물의 다른 논문 (7건)