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On Null 2-Type Submanifolds of Euclidean Spaces

Year 2009, Volume: 2 Issue: 2, 20 - 26, 30.10.2009

Uğur Dursun

Abstract

  

Keywords

Finite type submanifold Null 2-type submanifold Mean curvature vector Helical cylinder

References

  • [1] Chen, B.-Y., Total Mean Curvature and Submanifolds of Finite Type, World Scientific, Singapor-New Jersey-London, 1984.
  • [2] Chen, B.-Y., Null 2-type surfaces E3 are circular cylinder, Kodai Math J., 11 (1988), 295–299.
  • [3] Chen, B.-Y., Null 2-type surfaces in Eucliean spaces, in Algebra, Analysis and Geometry, (Taipei, 1988) 1–18, World Sci. Publishing, Teaneck, NJ, 1989.
  • [4] Dursun, U., Null 2-type submanifolds of the Euclidean space E5 with parallel normalized mean curvature vector, Kodai Math. J., 28(2005) 191-198
  • [5] Dursun, U., Null 2-type submanifolds of the Euclidean space E5 with non-parallel mean curvature vector, J. Geom., 86(2006), 73-80.
  • [6] Ferrandez, A. and Lucas, P., Null finite type hypersurfaces in space forms, Kodai Math. J., 14(1991), 406–419.
  • [7] Gheysens, L., Verheyen, P. and Verstraelen, L., Characterization and examples of Chen submanifolds, J. Geom., 20 (1983), 47-62.
  • [8] Li S.J., Null 2-type surfaces in Em with parallel normalized mean curvature vector, Math. J. Toyama Univ., 17 (1994), 23–30.
  • [9] Li, S.J., Null 2-type Chen surfaces, Glasgow Math. J., 37 (1995), 233–242.

Year 2009, Volume: 2 Issue: 2, 20 - 26, 30.10.2009

Uğur Dursun

Abstract

References

  • [1] Chen, B.-Y., Total Mean Curvature and Submanifolds of Finite Type, World Scientific, Singapor-New Jersey-London, 1984.
  • [2] Chen, B.-Y., Null 2-type surfaces E3 are circular cylinder, Kodai Math J., 11 (1988), 295–299.
  • [3] Chen, B.-Y., Null 2-type surfaces in Eucliean spaces, in Algebra, Analysis and Geometry, (Taipei, 1988) 1–18, World Sci. Publishing, Teaneck, NJ, 1989.
  • [4] Dursun, U., Null 2-type submanifolds of the Euclidean space E5 with parallel normalized mean curvature vector, Kodai Math. J., 28(2005) 191-198
  • [5] Dursun, U., Null 2-type submanifolds of the Euclidean space E5 with non-parallel mean curvature vector, J. Geom., 86(2006), 73-80.
  • [6] Ferrandez, A. and Lucas, P., Null finite type hypersurfaces in space forms, Kodai Math. J., 14(1991), 406–419.
  • [7] Gheysens, L., Verheyen, P. and Verstraelen, L., Characterization and examples of Chen submanifolds, J. Geom., 20 (1983), 47-62.
  • [8] Li S.J., Null 2-type surfaces in Em with parallel normalized mean curvature vector, Math. J. Toyama Univ., 17 (1994), 23–30.
  • [9] Li, S.J., Null 2-type Chen surfaces, Glasgow Math. J., 37 (1995), 233–242.
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Uğur Dursun This is me

Publication Date October 30, 2009
Published in Issue Year 2009 Volume: 2 Issue: 2

Cite

APA Dursun, U. (2009). On Null 2-Type Submanifolds of Euclidean Spaces. International Electronic Journal of Geometry, 2(2), 20-26.
AMA Dursun U. On Null 2-Type Submanifolds of Euclidean Spaces. Int. Electron. J. Geom. October 2009;2(2):20-26.
Chicago Dursun, Uğur. “On Null 2-Type Submanifolds of Euclidean Spaces”. International Electronic Journal of Geometry 2, no. 2 (October 2009): 20-26.
EndNote Dursun U (October 1, 2009) On Null 2-Type Submanifolds of Euclidean Spaces. International Electronic Journal of Geometry 2 2 20–26.
IEEE U. Dursun, “On Null 2-Type Submanifolds of Euclidean Spaces”, Int. Electron. J. Geom., vol. 2, no. 2, pp. 20–26, 2009.
ISNAD Dursun, Uğur. “On Null 2-Type Submanifolds of Euclidean Spaces”. International Electronic Journal of Geometry 2/2 (October 2009), 20-26.
JAMA Dursun U. On Null 2-Type Submanifolds of Euclidean Spaces. Int. Electron. J. Geom. 2009;2:20–26.
MLA Dursun, Uğur. “On Null 2-Type Submanifolds of Euclidean Spaces”. International Electronic Journal of Geometry, vol. 2, no. 2, 2009, pp. 20-26.
Vancouver Dursun U. On Null 2-Type Submanifolds of Euclidean Spaces. Int. Electron. J. Geom. 2009;2(2):20-6.