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

Yıl 2012, Cilt: 5 Sayı: 2, 79 - 84, 30.10.2012

Öz


Kaynakça

  • [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.
Yıl 2012, Cilt: 5 Sayı: 2, 79 - 84, 30.10.2012

Öz

Kaynakça

  • [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.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Avik De Bu kişi benim

Bandana Barua Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 5 Sayı: 2

Kaynak Göster

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. Ekim 2012;5(2):79-84.
Chicago De, Avik, ve Bandana Barua. “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”. International Electronic Journal of Geometry 5, sy. 2 (Ekim 2012): 79-84.
EndNote De A, Barua B (01 Ekim 2012) CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS. International Electronic Journal of Geometry 5 2 79–84.
IEEE A. De ve B. Barua, “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”, Int. Electron. J. Geom., c. 5, sy. 2, ss. 79–84, 2012.
ISNAD De, Avik - Barua, Bandana. “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”. International Electronic Journal of Geometry 5/2 (Ekim 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 ve Bandana Barua. “CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS”. International Electronic Journal of Geometry, c. 5, sy. 2, 2012, ss. 79-84.
Vancouver De A, Barua B. CONTACT CR-SUBMANIFOLDS OF N(k)-CONTACT MANIFOLDS. Int. Electron. J. Geom. 2012;5(2):79-84.