Araştırma Makalesi
BibTex RIS Kaynak Göster

SEMI-PARALLEL MERIDIAN SURFACES IN E^4

Yıl 2015, , 147 - 153, 30.10.2015
https://doi.org/10.36890/iejg.592301

Öz


Kaynakça

  • [1] Bulca, B. and Arslan, K., Semi-parallel Wintgen Ideal Surfaces in En. Compt. Rend. del Acad. Bulgare des Sci., 67(2014), 613-622.
  • [2] Bulca, B. and Arslan, K., Semi-parallel Tensor Product Surfaces in E4. Int. Elect. J. Geom., 7(2014), 36-43.
  • [3] Bulca, B., Arslan, K. and Milousheva, V., Meridian Surfaces in E4 with 1-type Gauss Map. Bull. Korean Math. Soc., 51(2014), 911-922.
  • [4] Chen,B. Y., Geometry of Submanifolds. Dekker, New York(1973).
  • [5] Decruyenaere, F., Dillen, F., Verstraelen, L., Vrancken, L, The semiring of immersions of manifolds. Beitrage Algebra Geom. 34(1993), 209–215.
  • [6] Deprez, J., Semi-parallel surfaces in Euclidean space. J. Geom. 25(1985), 192-200.
  • [7] Deszcz, R., On pseudosymmetric spaces. Bull. Soc. Math. Belg., 44 ser. A (1992), 1-34.
  • [8] Ferus, D., Symmetric submanifolds of Euclidean space. Math. Ann. 247(1980), 81-93.
  • [9] Ganchev, G. and Milousheva, V., Invariants and Bonnet-type theorem for surfaces in R4. Cent. Eur. J. Math. 8(2010), No.6, 993-1008.
  • [10] Ganchev, G. and Milousheva, V., Marginally trapped meridian surfaces of parabolic type in the four-dimensional Minkowski space. Int. J. Geom. Meth. in Modern Physics, 10:10(2013), 1-17.
  • [11] Ganchev, G. and Milousheva, V., Meridian Surfaces of Elliptic or Hyperbolic Type in the four dimensional Minkowski space. ArXiv: 1402.6112v1 (2014).
  • [12] Ganchev, G. and Milousheva, V., Special class of Meridian surfaces in the four dimensional Euclidean space. ArXiv: 1402.5848v1 (2014).
  • [13] Ganchev, G. and Milousheva, V., Geometric Interpretation of the Invariants of a Surface in R4 via the tangent indicatrix and the normal curvature ellipse. ArXiv:0905.4453v1(2009).
  • [14] Guadalupe, I.V., Rodriguez, L., Normal curvature of surfaces in space forms. Pacific J. Math. 106(1983), 95-103.
  • [15] Lumiste, Ü., Classification of two-codimensional semi-symmetric submanifolds. TRU¨ Toime- tised 803(1988), 79-84.
  • [16] Özgür, C., Arslan, K., Murathan, C., On a class of surfaces in Euclidean spaces. Commun. Fac. Sci. Univ. Ank. series A1 51(2002), 47-54.
  • [17] Öztürk, G., Bulca, B., Bayram, B.K. and Arslan, K., Meridian surfaces of Weingarten type in 4-dimensional Euclidean space E4. ArXiv:1305.3155v1 (2013).
  • ]18] Szabo, Z.I., Structure theorems on Riemannian spaces satisfying R(X, Y ) · R = 0. I. The local vesion , J. Differential Geometry 17(1982), 531-582.
Yıl 2015, , 147 - 153, 30.10.2015
https://doi.org/10.36890/iejg.592301

Öz

Kaynakça

  • [1] Bulca, B. and Arslan, K., Semi-parallel Wintgen Ideal Surfaces in En. Compt. Rend. del Acad. Bulgare des Sci., 67(2014), 613-622.
  • [2] Bulca, B. and Arslan, K., Semi-parallel Tensor Product Surfaces in E4. Int. Elect. J. Geom., 7(2014), 36-43.
  • [3] Bulca, B., Arslan, K. and Milousheva, V., Meridian Surfaces in E4 with 1-type Gauss Map. Bull. Korean Math. Soc., 51(2014), 911-922.
  • [4] Chen,B. Y., Geometry of Submanifolds. Dekker, New York(1973).
  • [5] Decruyenaere, F., Dillen, F., Verstraelen, L., Vrancken, L, The semiring of immersions of manifolds. Beitrage Algebra Geom. 34(1993), 209–215.
  • [6] Deprez, J., Semi-parallel surfaces in Euclidean space. J. Geom. 25(1985), 192-200.
  • [7] Deszcz, R., On pseudosymmetric spaces. Bull. Soc. Math. Belg., 44 ser. A (1992), 1-34.
  • [8] Ferus, D., Symmetric submanifolds of Euclidean space. Math. Ann. 247(1980), 81-93.
  • [9] Ganchev, G. and Milousheva, V., Invariants and Bonnet-type theorem for surfaces in R4. Cent. Eur. J. Math. 8(2010), No.6, 993-1008.
  • [10] Ganchev, G. and Milousheva, V., Marginally trapped meridian surfaces of parabolic type in the four-dimensional Minkowski space. Int. J. Geom. Meth. in Modern Physics, 10:10(2013), 1-17.
  • [11] Ganchev, G. and Milousheva, V., Meridian Surfaces of Elliptic or Hyperbolic Type in the four dimensional Minkowski space. ArXiv: 1402.6112v1 (2014).
  • [12] Ganchev, G. and Milousheva, V., Special class of Meridian surfaces in the four dimensional Euclidean space. ArXiv: 1402.5848v1 (2014).
  • [13] Ganchev, G. and Milousheva, V., Geometric Interpretation of the Invariants of a Surface in R4 via the tangent indicatrix and the normal curvature ellipse. ArXiv:0905.4453v1(2009).
  • [14] Guadalupe, I.V., Rodriguez, L., Normal curvature of surfaces in space forms. Pacific J. Math. 106(1983), 95-103.
  • [15] Lumiste, Ü., Classification of two-codimensional semi-symmetric submanifolds. TRU¨ Toime- tised 803(1988), 79-84.
  • [16] Özgür, C., Arslan, K., Murathan, C., On a class of surfaces in Euclidean spaces. Commun. Fac. Sci. Univ. Ank. series A1 51(2002), 47-54.
  • [17] Öztürk, G., Bulca, B., Bayram, B.K. and Arslan, K., Meridian surfaces of Weingarten type in 4-dimensional Euclidean space E4. ArXiv:1305.3155v1 (2013).
  • ]18] Szabo, Z.I., Structure theorems on Riemannian spaces satisfying R(X, Y ) · R = 0. I. The local vesion , J. Differential Geometry 17(1982), 531-582.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Betül Bulca

Kadri Arslan

Yayımlanma Tarihi 30 Ekim 2015
Yayımlandığı Sayı Yıl 2015

Kaynak Göster

APA Bulca, B., & Arslan, K. (2015). SEMI-PARALLEL MERIDIAN SURFACES IN E^4. International Electronic Journal of Geometry, 8(2), 147-153. https://doi.org/10.36890/iejg.592301
AMA Bulca B, Arslan K. SEMI-PARALLEL MERIDIAN SURFACES IN E^4. Int. Electron. J. Geom. Ekim 2015;8(2):147-153. doi:10.36890/iejg.592301
Chicago Bulca, Betül, ve Kadri Arslan. “SEMI-PARALLEL MERIDIAN SURFACES IN E^4”. International Electronic Journal of Geometry 8, sy. 2 (Ekim 2015): 147-53. https://doi.org/10.36890/iejg.592301.
EndNote Bulca B, Arslan K (01 Ekim 2015) SEMI-PARALLEL MERIDIAN SURFACES IN E^4. International Electronic Journal of Geometry 8 2 147–153.
IEEE B. Bulca ve K. Arslan, “SEMI-PARALLEL MERIDIAN SURFACES IN E^4”, Int. Electron. J. Geom., c. 8, sy. 2, ss. 147–153, 2015, doi: 10.36890/iejg.592301.
ISNAD Bulca, Betül - Arslan, Kadri. “SEMI-PARALLEL MERIDIAN SURFACES IN E^4”. International Electronic Journal of Geometry 8/2 (Ekim 2015), 147-153. https://doi.org/10.36890/iejg.592301.
JAMA Bulca B, Arslan K. SEMI-PARALLEL MERIDIAN SURFACES IN E^4. Int. Electron. J. Geom. 2015;8:147–153.
MLA Bulca, Betül ve Kadri Arslan. “SEMI-PARALLEL MERIDIAN SURFACES IN E^4”. International Electronic Journal of Geometry, c. 8, sy. 2, 2015, ss. 147-53, doi:10.36890/iejg.592301.
Vancouver Bulca B, Arslan K. SEMI-PARALLEL MERIDIAN SURFACES IN E^4. Int. Electron. J. Geom. 2015;8(2):147-53.