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LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE

Yıl 2014, Cilt: 7 Sayı: 1, 133 - 142, 30.04.2014

Feyza Esra Erdoğan , Bayram Şahin , Rifat Güneş

https://doi.org/10.36890/iejg.594502
Cited By: 3

Öz


Anahtar Kelimeler

Lightlike surfaces non-degenerate planar normal section degenerate normal section

Kaynakça

  • [1] Atindogbe , C. Duggal, K.L.,Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11(4), (2004), 421-442.
  • [2] Chen, B.Y.,Classification of Surfaces with Planar Normal Sections, Journal of Geometry Vol.20 (1983) 122-127
  • [3] Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publisher, 1996.
  • [4] Duggal, K. L. and Jin, D. H., Null Curves and Hypersurfaces of Semi Riemannian Manifolds, World Scientific, 2007.
  • [5] Duggal, K. L. and Sahin B., Differential Geometry of Lightlike Submanifolds, Springer Birkhauser, 2010.
  • [6] Kim, Y. H.,Minimal surfaces of pseudo-Euclidean spaces with geodesic normal sections, Dif- ferential Geometry and its Applications 5 (1995) 321-329.
  • [7] Kim, Y. H.,Pseudo-Riemannian Submanifolds with pointwise planar normal sections, Math. J. Okayama Univ.34 (1992), 249-257.
  • [8] Kim, Y. H.,Surfaces in a pseudo-Euclidean space with planar normal sections, Journal of Geometry Vol.35 (1989),120-131.
  • [9] Li. S. J.,Submanifolds with Pointwise Planar Normal Sections in a sphere, Journal of Geom- etry, 70 (2001) 101-107.
  • [10] O’Neill , B., Semi Riemannian Geometry with Applications to Relativity, Academic Press,1983.

Yıl 2014, Cilt: 7 Sayı: 1, 133 - 142, 30.04.2014

Feyza Esra Erdoğan , Bayram Şahin , Rifat Güneş

https://doi.org/10.36890/iejg.594502
Cited By: 3

Öz

Kaynakça

  • [1] Atindogbe , C. Duggal, K.L.,Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11(4), (2004), 421-442.
  • [2] Chen, B.Y.,Classification of Surfaces with Planar Normal Sections, Journal of Geometry Vol.20 (1983) 122-127
  • [3] Duggal, K. L. and Bejancu, A., Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publisher, 1996.
  • [4] Duggal, K. L. and Jin, D. H., Null Curves and Hypersurfaces of Semi Riemannian Manifolds, World Scientific, 2007.
  • [5] Duggal, K. L. and Sahin B., Differential Geometry of Lightlike Submanifolds, Springer Birkhauser, 2010.
  • [6] Kim, Y. H.,Minimal surfaces of pseudo-Euclidean spaces with geodesic normal sections, Dif- ferential Geometry and its Applications 5 (1995) 321-329.
  • [7] Kim, Y. H.,Pseudo-Riemannian Submanifolds with pointwise planar normal sections, Math. J. Okayama Univ.34 (1992), 249-257.
  • [8] Kim, Y. H.,Surfaces in a pseudo-Euclidean space with planar normal sections, Journal of Geometry Vol.35 (1989),120-131.
  • [9] Li. S. J.,Submanifolds with Pointwise Planar Normal Sections in a sphere, Journal of Geom- etry, 70 (2001) 101-107.
  • [10] O’Neill , B., Semi Riemannian Geometry with Applications to Relativity, Academic Press,1983.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Feyza Esra Erdoğan

Bayram Şahin

Rifat Güneş

Yayımlanma Tarihi 30 Nisan 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 7 Sayı: 1

Kaynak Göster

APA Erdoğan, F. E., Şahin, B., & Güneş, R. (2014). LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE. International Electronic Journal of Geometry, 7(1), 133-142. https://doi.org/10.36890/iejg.594502
AMA Erdoğan FE, Şahin B, Güneş R. LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE. Int. Electron. J. Geom. Nisan 2014;7(1):133-142. doi:10.36890/iejg.594502
Chicago Erdoğan, Feyza Esra, Bayram Şahin, ve Rifat Güneş. “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”. International Electronic Journal of Geometry 7, sy. 1 (Nisan 2014): 133-42. https://doi.org/10.36890/iejg.594502.
EndNote Erdoğan FE, Şahin B, Güneş R (01 Nisan 2014) LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE. International Electronic Journal of Geometry 7 1 133–142.
IEEE F. E. Erdoğan, B. Şahin, ve R. Güneş, “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”, Int. Electron. J. Geom., c. 7, sy. 1, ss. 133–142, 2014, doi: 10.36890/iejg.594502.
ISNAD Erdoğan, Feyza Esra vd. “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”. International Electronic Journal of Geometry 7/1 (Nisan 2014), 133-142. https://doi.org/10.36890/iejg.594502.
JAMA Erdoğan FE, Şahin B, Güneş R. LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE. Int. Electron. J. Geom. 2014;7:133–142.
MLA Erdoğan, Feyza Esra vd. “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”. International Electronic Journal of Geometry, c. 7, sy. 1, 2014, ss. 133-42, doi:10.36890/iejg.594502.
Vancouver Erdoğan FE, Şahin B, Güneş R. LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE. Int. Electron. J. Geom. 2014;7(1):133-42.

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