Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2011, Cilt: 4 Sayı: 2, 120 - 135, 30.10.2011

Erol Kılıç Bayram Şahin Sadık Keleş

Öz

Kaynakça

  • [1] Atçeken, M. and Kılıç, E., Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J. Vol.30, No.3, 361-378, (2007).
  • [2] Bejan, C.L., 2-Codimensional Lightlike Submanifolds of Almost Para-Hermitian Manifolds, Differential Geometry and Applications, (1996), 7-17.
  • [3] Duggal, K.L. and Şahin, B., Screen Cauchy Riemann Ligtlike Submanifolds, Acta Math. Hungar. 106 (1-2), (2005), 137-165.
  • [4] Duggal, K.L. and Şahin, B., Differential Geometry of Lightlike Submanifolds, Birkhauser Veralag AG, Basel, Boston, Berlin (2010).
  • [5] Duggal, K.L., Warped Product of Lightlike Submanifolds, Nonlinear Analysis, 47, (2001), 3061-3072.
  • [6] Duggal, K.L., Constant Scalar Curvature and Warped Product Globally Null Manifolds, J. Geom. Phys., 43 (2002), 327-340.
  • [7] Duggal, K.L., and Jin, D.H., Totally Umbilical Lightlike Submanifolds, Kodai Math. J., 26, (2003), 49-68.
  • [8] Duggal, K.L. and Bejancu, A. Lightlike Submanifolds of Semi-Riemannian Manifolds and Its Applications, Kluwer,Dortrecht, (1996).
  • [9] Kilic, E. and Şahin, B., Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds, Turk. J. Math. 32, (2008), 429-449.
  • [10] O’Neill, B., Semi-Riemannian Geometry with Applicitaions to Relativity, Academic Press. New York, (1983).
  • [11] Şahin, B. and At¸ceken, M., Semi-Invariant Submanifolds of Riemannian Product Manifold. Balkan Journal of Geometry and Its Applications, 8, No:1, (2003), 91-100.
  • [12] Senlin, X. and Yilong, N., Submanifolds of Product Riemannian Manifold. Acta Mathematica Scientia, 20(B), (2000), 213-218.
  • [13] Ximin,L. and Shao, F.-M., Skew Semi-Invariant Submanifolds of a Locally Product Manifold. Portugalia Math., Vol.56, Fasc.3, (1999), 319-327.
  • [14] Yano, K., and Kon, M., Structure on Manifolds. World Scientific Publishing Co.Ltd (1984).

SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS

Yıl 2011, Cilt: 4 Sayı: 2, 120 - 135, 30.10.2011

Erol Kılıç Bayram Şahin Sadık Keleş

Öz


Anahtar Kelimeler

Degenerate Metric Lightlike Submanifold SCR-Lightlike Submanifold Product Manifold

Kaynakça

  • [1] Atçeken, M. and Kılıç, E., Semi-Invariant Lightlike Submanifolds of a Semi-Riemannian Product Manifold, Kodai Math. J. Vol.30, No.3, 361-378, (2007).
  • [2] Bejan, C.L., 2-Codimensional Lightlike Submanifolds of Almost Para-Hermitian Manifolds, Differential Geometry and Applications, (1996), 7-17.
  • [3] Duggal, K.L. and Şahin, B., Screen Cauchy Riemann Ligtlike Submanifolds, Acta Math. Hungar. 106 (1-2), (2005), 137-165.
  • [4] Duggal, K.L. and Şahin, B., Differential Geometry of Lightlike Submanifolds, Birkhauser Veralag AG, Basel, Boston, Berlin (2010).
  • [5] Duggal, K.L., Warped Product of Lightlike Submanifolds, Nonlinear Analysis, 47, (2001), 3061-3072.
  • [6] Duggal, K.L., Constant Scalar Curvature and Warped Product Globally Null Manifolds, J. Geom. Phys., 43 (2002), 327-340.
  • [7] Duggal, K.L., and Jin, D.H., Totally Umbilical Lightlike Submanifolds, Kodai Math. J., 26, (2003), 49-68.
  • [8] Duggal, K.L. and Bejancu, A. Lightlike Submanifolds of Semi-Riemannian Manifolds and Its Applications, Kluwer,Dortrecht, (1996).
  • [9] Kilic, E. and Şahin, B., Radical Anti-Invariant Lightlike Submanifolds of Semi-Riemannian Product Manifolds, Turk. J. Math. 32, (2008), 429-449.
  • [10] O’Neill, B., Semi-Riemannian Geometry with Applicitaions to Relativity, Academic Press. New York, (1983).
  • [11] Şahin, B. and At¸ceken, M., Semi-Invariant Submanifolds of Riemannian Product Manifold. Balkan Journal of Geometry and Its Applications, 8, No:1, (2003), 91-100.
  • [12] Senlin, X. and Yilong, N., Submanifolds of Product Riemannian Manifold. Acta Mathematica Scientia, 20(B), (2000), 213-218.
  • [13] Ximin,L. and Shao, F.-M., Skew Semi-Invariant Submanifolds of a Locally Product Manifold. Portugalia Math., Vol.56, Fasc.3, (1999), 319-327.
  • [14] Yano, K., and Kon, M., Structure on Manifolds. World Scientific Publishing Co.Ltd (1984).
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Erol Kılıç Bu kişi benim

Bayram Şahin Bu kişi benim

Sadık Keleş Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 4 Sayı: 2

Kaynak Göster

APA Kılıç, E., Şahin, B., & Keleş, S. (2011). SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. International Electronic Journal of Geometry, 4(2), 120-135.
AMA Kılıç E, Şahin B, Keleş S. SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Int. Electron. J. Geom. Ekim 2011;4(2):120-135.
Chicago Kılıç, Erol, Bayram Şahin, ve Sadık Keleş. “SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. International Electronic Journal of Geometry 4, sy. 2 (Ekim 2011): 120-35.
EndNote Kılıç E, Şahin B, Keleş S (01 Ekim 2011) SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. International Electronic Journal of Geometry 4 2 120–135.
IEEE E. Kılıç, B. Şahin, ve S. Keleş, “SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”, Int. Electron. J. Geom., c. 4, sy. 2, ss. 120–135, 2011.
ISNAD Kılıç, Erol vd. “SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. International Electronic Journal of Geometry 4/2 (Ekim 2011), 120-135.
JAMA Kılıç E, Şahin B, Keleş S. SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Int. Electron. J. Geom. 2011;4:120–135.
MLA Kılıç, Erol vd. “SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS”. International Electronic Journal of Geometry, c. 4, sy. 2, 2011, ss. 120-35.
Vancouver Kılıç E, Şahin B, Keleş S. SCREEN SEMI INVARIANT LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS. Int. Electron. J. Geom. 2011;4(2):120-35.