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On Ricci solitons in N(k) - quasi Einstein manifolds

Yıl 2017, Cilt: 5 Sayı: 3, 46 - 52, 01.07.2017

Öz

He object of the present paper is to study N(k)-quasi Einstein manifolds satisfying certain curvature conditions. Further we study gradient Ricci solitons on N(k)-quasi Einstein manifolds.

Kaynakça

  • A. L. Besse. Einstein manifolds, volume 10 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]. Springer-Verlag, Berlin, 1987.
  • M. C. Chaki. On generalized quasi Einstein manifolds. Publ. Math. Debrecen, 58(4):683-691, 2001.
  • M. C. Chaki and R. K. Maity. On quasi Einstein manifolds. Publ. Math. Debrecen, 57(3-4):297-306, 2000.
  • M. Crasmareanu. Parallel tensors and ricci solitons in n(k)- quasi einstein manifold. Indian Journal of Pure and applies Mathematics, 2012.
  • Sengupta J. De, U. C. and D. Saha. Conformally at quasi einstein spaces. Kyungpook math J., 46(3), 2006.
  • U. C. De and G. C. Ghosh. On quasi Einstein manifolds. Period. Math. Hungar., 48(1-2):223-231, 2004.
  • U. C. De and G. C. Ghosh. On conformally at special quasi Einstein manifolds. Publ. Math. Debrecen, 66(1-2):129-136, 2005.
  • U. C. De and G. C. Ghosh. On quasi Einstein and special quasi Einstein manifolds. In Proceedings of the International Conference on Mathematics and its Applications (ICMA 2004), pages 178-191. Kuwait Univ. Dep. Math. Comput. Sci., Kuwait, 2005.
  • A. Einstein. Grundzuge der relativitats theory. Springer, Berlin, 2002.
  • M. S. El Naschie. G odel universe, dualities and high energy particle ine-innity. Chaos, Solutions and Fractals, 25:759-764, 2005.
  • M. S. El Naschie. Is einsteins general eld equation more fundamental than quantum eld theory and particle physics?on quasi Einstein and special quasi Einstein manifolds. Chaos, Solutions and Fractals, 30:525-531, 2006.
  • S. Guha. On quasi Einstein and generalized quasi Einstein manifolds. Facta Univ. Ser. Mech. Automat. Control Robot., 3(14):821-842, 2003. Nonlinear mechanics, nonlinear sciences and applications, I (Nis, 2003).
  • A. Hosseinzadeh and A. Taleshian. On conformal and quasi-conformal curvature tensors of an N(k)-quasi Einstein manifold. Commun. Korean Math. Soc., 27(2):317-326, 2012.
  • M. Matsumoto and G. Chuman. On the C-Bochner curvature tensor. TRU Math., 5:21-30, 1969.
  • H. G. Nagaraja. On n(k) -quasi einstein manifold. European Journal of Pure and Applied Mathematics, 3:16-25, 2010.
  • C. Ozgur. N(k)-quasi Einstein manifolds satisfying certain conditions. Chaos Solitons Fractals, 38(5):1373-1377, 2008.
  • C. Ozgur and M. M. Tripathi. On the concircular curvature tensor of an N(k)-quasi Einstein manifold. Math. Pannon., 18(1):95-100, 2007.
  • A. Taleshian and A. A. Hosseinzadeh. Investigation of some conditions on N(k)-quasi Einstein manifolds. Bull. Malays. Math. Sci. Soc. (2), 34(3):455-464, 2011.
  • S. Tanno. Ricci curvatures of contact Riemannian manifolds. Tohoku Math. J. (2), 40(3):441-448, 1988.
  • M. M. Tripathi and J. Kim. On N(k)-quasi Einstein manifolds. Commun. Korean Math. Soc., 22(3):411-417, 2007.
  • L. Verstraelen. Comments on pseudo-symmetry in the sense of Ryszard Deszcz. pages 199-209, 1994.
  • A. Yildiz, U. C. De, and A. Cetinkaya. On some classes of N(k)-quasi Einstein manifolds. Proc. Nat. Acad. Sci. India Sect. A, 83(3):239-245,2013.
Yıl 2017, Cilt: 5 Sayı: 3, 46 - 52, 01.07.2017

Öz

Kaynakça

  • A. L. Besse. Einstein manifolds, volume 10 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]. Springer-Verlag, Berlin, 1987.
  • M. C. Chaki. On generalized quasi Einstein manifolds. Publ. Math. Debrecen, 58(4):683-691, 2001.
  • M. C. Chaki and R. K. Maity. On quasi Einstein manifolds. Publ. Math. Debrecen, 57(3-4):297-306, 2000.
  • M. Crasmareanu. Parallel tensors and ricci solitons in n(k)- quasi einstein manifold. Indian Journal of Pure and applies Mathematics, 2012.
  • Sengupta J. De, U. C. and D. Saha. Conformally at quasi einstein spaces. Kyungpook math J., 46(3), 2006.
  • U. C. De and G. C. Ghosh. On quasi Einstein manifolds. Period. Math. Hungar., 48(1-2):223-231, 2004.
  • U. C. De and G. C. Ghosh. On conformally at special quasi Einstein manifolds. Publ. Math. Debrecen, 66(1-2):129-136, 2005.
  • U. C. De and G. C. Ghosh. On quasi Einstein and special quasi Einstein manifolds. In Proceedings of the International Conference on Mathematics and its Applications (ICMA 2004), pages 178-191. Kuwait Univ. Dep. Math. Comput. Sci., Kuwait, 2005.
  • A. Einstein. Grundzuge der relativitats theory. Springer, Berlin, 2002.
  • M. S. El Naschie. G odel universe, dualities and high energy particle ine-innity. Chaos, Solutions and Fractals, 25:759-764, 2005.
  • M. S. El Naschie. Is einsteins general eld equation more fundamental than quantum eld theory and particle physics?on quasi Einstein and special quasi Einstein manifolds. Chaos, Solutions and Fractals, 30:525-531, 2006.
  • S. Guha. On quasi Einstein and generalized quasi Einstein manifolds. Facta Univ. Ser. Mech. Automat. Control Robot., 3(14):821-842, 2003. Nonlinear mechanics, nonlinear sciences and applications, I (Nis, 2003).
  • A. Hosseinzadeh and A. Taleshian. On conformal and quasi-conformal curvature tensors of an N(k)-quasi Einstein manifold. Commun. Korean Math. Soc., 27(2):317-326, 2012.
  • M. Matsumoto and G. Chuman. On the C-Bochner curvature tensor. TRU Math., 5:21-30, 1969.
  • H. G. Nagaraja. On n(k) -quasi einstein manifold. European Journal of Pure and Applied Mathematics, 3:16-25, 2010.
  • C. Ozgur. N(k)-quasi Einstein manifolds satisfying certain conditions. Chaos Solitons Fractals, 38(5):1373-1377, 2008.
  • C. Ozgur and M. M. Tripathi. On the concircular curvature tensor of an N(k)-quasi Einstein manifold. Math. Pannon., 18(1):95-100, 2007.
  • A. Taleshian and A. A. Hosseinzadeh. Investigation of some conditions on N(k)-quasi Einstein manifolds. Bull. Malays. Math. Sci. Soc. (2), 34(3):455-464, 2011.
  • S. Tanno. Ricci curvatures of contact Riemannian manifolds. Tohoku Math. J. (2), 40(3):441-448, 1988.
  • M. M. Tripathi and J. Kim. On N(k)-quasi Einstein manifolds. Commun. Korean Math. Soc., 22(3):411-417, 2007.
  • L. Verstraelen. Comments on pseudo-symmetry in the sense of Ryszard Deszcz. pages 199-209, 1994.
  • A. Yildiz, U. C. De, and A. Cetinkaya. On some classes of N(k)-quasi Einstein manifolds. Proc. Nat. Acad. Sci. India Sect. A, 83(3):239-245,2013.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

H. G. Nagaraja Bu kişi benim

Venu K. Bu kişi benim

Yayımlanma Tarihi 1 Temmuz 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA Nagaraja, H. G., & K., V. (2017). On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences, 5(3), 46-52.
AMA Nagaraja HG, K. V. On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences. Temmuz 2017;5(3):46-52.
Chicago Nagaraja, H. G., ve Venu K. “On Ricci Solitons in N(k) - Quasi Einstein Manifolds”. New Trends in Mathematical Sciences 5, sy. 3 (Temmuz 2017): 46-52.
EndNote Nagaraja HG, K. V (01 Temmuz 2017) On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences 5 3 46–52.
IEEE H. G. Nagaraja ve V. K., “On Ricci solitons in N(k) - quasi Einstein manifolds”, New Trends in Mathematical Sciences, c. 5, sy. 3, ss. 46–52, 2017.
ISNAD Nagaraja, H. G. - K., Venu. “On Ricci Solitons in N(k) - Quasi Einstein Manifolds”. New Trends in Mathematical Sciences 5/3 (Temmuz 2017), 46-52.
JAMA Nagaraja HG, K. V. On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences. 2017;5:46–52.
MLA Nagaraja, H. G. ve Venu K. “On Ricci Solitons in N(k) - Quasi Einstein Manifolds”. New Trends in Mathematical Sciences, c. 5, sy. 3, 2017, ss. 46-52.
Vancouver Nagaraja HG, K. V. On Ricci solitons in N(k) - quasi Einstein manifolds. New Trends in Mathematical Sciences. 2017;5(3):46-52.