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CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS

Year 2012, Volume: 5 Issue: 2, 79 - 84, 30.10.2012

Abstract


References

  • [1] Bejancu A. and Papaghiuc N., Semi-invariant submanifolds of a Sasakian manifold, Ann. St. Univ. ”Al.I.Cuza” Iasi 27(1981), 163-170.
  • [2] Blair D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics, 509 Springer-Verlag, Berlin, 2003.
  • [3] Calin C., CR-submanifolds of a nearly cosymplectic manifold, Publ. Math. Debrecen 45 (1994), 225-237.
  • [4] Calin C., Contact CR-submanifold of quasi-Sasakian manifolds, Bull. Math. Soc. Sci. Math.Roumanie 36(84)(1992),217-226.
  • [5] Calin C., Geometry of leaves on a CR-submanifold of a quasi-Sasakian manifold, Bul. I. P. Iasi Tom XL(XLIV)Fasc.1-4(1994),37-44.
  • [6] Calin C., Normal contact CR-submanifolds of a quasi-Sasakian manifold, Publ. Math. Debrecen 53/3-4 (1998),257-270.
  • [7] Calin C., Normal contact CR-submanifolds of a trans-Sasakian manifold,Bul. Inst. Poli. Din Iasi Tom XLII(XLVI) Fasc. 1-2,1996,9-15.
  • [8] Calin C., Semi-invariant submanifolds of a quasi K-Sasakian manifolds,Ann. St. Univ. ”Al.I.Cuza” Iasi Tom XLII,(1996),95-103.
  • [9] Ch. Baikoussis, D. E. Blair and Th. Koufogiorgos, A decomposition of the curvature tensor of a contact manifold satisfying R(X, Y )ξ = k(η(Y )X − η(X)Y ), Mathematics Technical Report, University of Ioanniana, No.204,June 1992.
  • [10] Chen B.Y., Geometry of submanifolds, Pure and Applied Mathematics, No. 22. Marcel Dekker, Inc.New York, 1973.
  • [11] Tanno S., Ricci curvatures of contact Riemannian manifolds, Tohoku Mathematical Journal 40(1988), 441-448.
  • [12] Yano K. and Kon M., CR-submanifolds of Kaehler and Sasakian manifolds, Birkhauser,Boston,1983.
Year 2012, Volume: 5 Issue: 2, 79 - 84, 30.10.2012

Abstract

References

  • [1] Bejancu A. and Papaghiuc N., Semi-invariant submanifolds of a Sasakian manifold, Ann. St. Univ. ”Al.I.Cuza” Iasi 27(1981), 163-170.
  • [2] Blair D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics, 509 Springer-Verlag, Berlin, 2003.
  • [3] Calin C., CR-submanifolds of a nearly cosymplectic manifold, Publ. Math. Debrecen 45 (1994), 225-237.
  • [4] Calin C., Contact CR-submanifold of quasi-Sasakian manifolds, Bull. Math. Soc. Sci. Math.Roumanie 36(84)(1992),217-226.
  • [5] Calin C., Geometry of leaves on a CR-submanifold of a quasi-Sasakian manifold, Bul. I. P. Iasi Tom XL(XLIV)Fasc.1-4(1994),37-44.
  • [6] Calin C., Normal contact CR-submanifolds of a quasi-Sasakian manifold, Publ. Math. Debrecen 53/3-4 (1998),257-270.
  • [7] Calin C., Normal contact CR-submanifolds of a trans-Sasakian manifold,Bul. Inst. Poli. Din Iasi Tom XLII(XLVI) Fasc. 1-2,1996,9-15.
  • [8] Calin C., Semi-invariant submanifolds of a quasi K-Sasakian manifolds,Ann. St. Univ. ”Al.I.Cuza” Iasi Tom XLII,(1996),95-103.
  • [9] Ch. Baikoussis, D. E. Blair and Th. Koufogiorgos, A decomposition of the curvature tensor of a contact manifold satisfying R(X, Y )ξ = k(η(Y )X − η(X)Y ), Mathematics Technical Report, University of Ioanniana, No.204,June 1992.
  • [10] Chen B.Y., Geometry of submanifolds, Pure and Applied Mathematics, No. 22. Marcel Dekker, Inc.New York, 1973.
  • [11] Tanno S., Ricci curvatures of contact Riemannian manifolds, Tohoku Mathematical Journal 40(1988), 441-448.
  • [12] Yano K. and Kon M., CR-submanifolds of Kaehler and Sasakian manifolds, Birkhauser,Boston,1983.
There are 12 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Avik De This is me

Bandana Barua This is me

Publication Date October 30, 2012
Published in Issue Year 2012 Volume: 5 Issue: 2

Cite

APA De, A., & Barua, B. (2012). CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS. International Electronic Journal of Geometry, 5(2), 79-84.
AMA De A, Barua B. CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS. Int. Electron. J. Geom. October 2012;5(2):79-84.
Chicago De, Avik, and Bandana Barua. “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”. International Electronic Journal of Geometry 5, no. 2 (October 2012): 79-84.
EndNote De A, Barua B (October 1, 2012) CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS. International Electronic Journal of Geometry 5 2 79–84.
IEEE A. De and B. Barua, “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”, Int. Electron. J. Geom., vol. 5, no. 2, pp. 79–84, 2012.
ISNAD De, Avik - Barua, Bandana. “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”. International Electronic Journal of Geometry 5/2 (October 2012), 79-84.
JAMA De A, Barua B. CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS. Int. Electron. J. Geom. 2012;5:79–84.
MLA De, Avik and Bandana Barua. “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”. International Electronic Journal of Geometry, vol. 5, no. 2, 2012, pp. 79-84.
Vancouver De A, Barua B. CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS. Int. Electron. J. Geom. 2012;5(2):79-84.