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LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE

Year 2014, Volume: 7 Issue: 1, 133 - 142, 30.04.2014

Feyza Esra Erdoğan , Bayram Şahin , Rifat Güneş

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

Abstract


Keywords

Lightlike surfaces non-degenerate planar normal section degenerate normal section

References

  • [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.

Year 2014, Volume: 7 Issue: 1, 133 - 142, 30.04.2014

Feyza Esra Erdoğan , Bayram Şahin , Rifat Güneş

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

Abstract

References

  • [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.
There are 10 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Feyza Esra Erdoğan

Bayram Şahin

Rifat Güneş

Publication Date April 30, 2014
Published in Issue Year 2014 Volume: 7 Issue: 1

Cite

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. April 2014;7(1):133-142. doi:10.36890/iejg.594502
Chicago Erdoğan, Feyza Esra, Bayram Şahin, and Rifat Güneş. “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”. International Electronic Journal of Geometry 7, no. 1 (April 2014): 133-42. https://doi.org/10.36890/iejg.594502.
EndNote Erdoğan FE, Şahin B, Güneş R (April 1, 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, and R. Güneş, “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”, Int. Electron. J. Geom., vol. 7, no. 1, pp. 133–142, 2014, doi: 10.36890/iejg.594502.
ISNAD Erdoğan, Feyza Esra et al. “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”. International Electronic Journal of Geometry 7/1 (April 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 et al. “LIGHTLIKE SURFACES WITH PLANAR NORMAL SECTIONS IN MINKOWSKI 3-SPACE”. International Electronic Journal of Geometry, vol. 7, no. 1, 2014, pp. 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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