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On Null 2-Type Submanifolds of Euclidean Spaces

Yıl 2009, Cilt: 2 Sayı: 2, 20 - 26, 30.10.2009

Uğur Dursun

Öz

  

Anahtar Kelimeler

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

Kaynakça

  • [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.

Yıl 2009, Cilt: 2 Sayı: 2, 20 - 26, 30.10.2009

Uğur Dursun

Öz

Kaynakça

  • [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.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Uğur Dursun Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 2 Sayı: 2

Kaynak Göster

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. Ekim 2009;2(2):20-26.
Chicago Dursun, Uğur. “On Null 2-Type Submanifolds of Euclidean Spaces”. International Electronic Journal of Geometry 2, sy. 2 (Ekim 2009): 20-26.
EndNote Dursun U (01 Ekim 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., c. 2, sy. 2, ss. 20–26, 2009.
ISNAD Dursun, Uğur. “On Null 2-Type Submanifolds of Euclidean Spaces”. International Electronic Journal of Geometry 2/2 (Ekim 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, c. 2, sy. 2, 2009, ss. 20-26.
Vancouver Dursun U. On Null 2-Type Submanifolds of Euclidean Spaces. Int. Electron. J. Geom. 2009;2(2):20-6.