Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 3 Sayı: 1, 17 - 24, 10.06.2020
https://doi.org/10.33401/fujma.643374

Öz

Kaynakça

  • N. Kerzman, E.M. Stein, The Cauchy Kernel, the Szeg¨o Kernel, and the Riemann Mapping Function, Math.Ann. 236 (1978), 85-93.
  • H.P. Boas, A Geometric Characterization of the Ball and the Bochner-Martinelli Kernel, Math. Ann. 248 (1980), 275-278.
  • H.P. Boas, Spheres and Cylinders: A Local Geometric Characterization, Illinois Journal of Mathematics, 28(1) (1984), 120-124.
  • B. Wegner, A Differential Geometric Proof of the Local Geometric Characterization of Spheres and Cylinders by Boas, Mathematica Balkanica 2 (1988),294-295.
  • D.S. Kim, Y.H. Kim, New Characterizations of Spheres, Cylinders and W−Curves, Linear Algebra and Its Applications 432 (2010), 3002-3006.
  • Y. H. Kim, K. E. Lee, Surfaces of Euclidean 4-Space Whose Geodesics are W-Curves, Nihonkai Math. J., 4 (1993), 221-232.
  • B. O’Neill, Semi-Riemann Geometry with Applications to Relativity, Academic Press. Inc., (1983).
  • E. Öztürk, Y. Yaylı, W-Curves In Lorentz-Minkowski Space, Mathematical Sciences and Applications E-Notes, 5(2) (2017), 76-88.
  • C. Ekici, E. Ozüsağlam, M. Çimdiker, E. Öztürk, On The Curvatures of Viviani Ruled Surface, Ciencia e Tecnica Vitivinicola, 29(7) (2014), 449-475

Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space

Yıl 2020, Cilt: 3 Sayı: 1, 17 - 24, 10.06.2020
https://doi.org/10.33401/fujma.643374

Öz

In this study, we determine the isoparametric surfaces and we give the Gauss map of these surfaces by semi symmetric matrix, in Lorentz space. Also we define any chord property and we show that the surfaces which have the chord property corresponds to isoparametric surfaces. Moreover, we consider the chord property locally and we give some examples in the Euclidean space.

Kaynakça

  • N. Kerzman, E.M. Stein, The Cauchy Kernel, the Szeg¨o Kernel, and the Riemann Mapping Function, Math.Ann. 236 (1978), 85-93.
  • H.P. Boas, A Geometric Characterization of the Ball and the Bochner-Martinelli Kernel, Math. Ann. 248 (1980), 275-278.
  • H.P. Boas, Spheres and Cylinders: A Local Geometric Characterization, Illinois Journal of Mathematics, 28(1) (1984), 120-124.
  • B. Wegner, A Differential Geometric Proof of the Local Geometric Characterization of Spheres and Cylinders by Boas, Mathematica Balkanica 2 (1988),294-295.
  • D.S. Kim, Y.H. Kim, New Characterizations of Spheres, Cylinders and W−Curves, Linear Algebra and Its Applications 432 (2010), 3002-3006.
  • Y. H. Kim, K. E. Lee, Surfaces of Euclidean 4-Space Whose Geodesics are W-Curves, Nihonkai Math. J., 4 (1993), 221-232.
  • B. O’Neill, Semi-Riemann Geometry with Applications to Relativity, Academic Press. Inc., (1983).
  • E. Öztürk, Y. Yaylı, W-Curves In Lorentz-Minkowski Space, Mathematical Sciences and Applications E-Notes, 5(2) (2017), 76-88.
  • C. Ekici, E. Ozüsağlam, M. Çimdiker, E. Öztürk, On The Curvatures of Viviani Ruled Surface, Ciencia e Tecnica Vitivinicola, 29(7) (2014), 449-475
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Emre Öztürk 0000-0001-6638-3233

Yayımlanma Tarihi 10 Haziran 2020
Gönderilme Tarihi 5 Ocak 2019
Kabul Tarihi 23 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 3 Sayı: 1

Kaynak Göster

APA Öztürk, E. (2020). Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space. Fundamental Journal of Mathematics and Applications, 3(1), 17-24. https://doi.org/10.33401/fujma.643374
AMA Öztürk E. Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space. FUJMA. Haziran 2020;3(1):17-24. doi:10.33401/fujma.643374
Chicago Öztürk, Emre. “Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space”. Fundamental Journal of Mathematics and Applications 3, sy. 1 (Haziran 2020): 17-24. https://doi.org/10.33401/fujma.643374.
EndNote Öztürk E (01 Haziran 2020) Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space. Fundamental Journal of Mathematics and Applications 3 1 17–24.
IEEE E. Öztürk, “Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space”, FUJMA, c. 3, sy. 1, ss. 17–24, 2020, doi: 10.33401/fujma.643374.
ISNAD Öztürk, Emre. “Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space”. Fundamental Journal of Mathematics and Applications 3/1 (Haziran 2020), 17-24. https://doi.org/10.33401/fujma.643374.
JAMA Öztürk E. Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space. FUJMA. 2020;3:17–24.
MLA Öztürk, Emre. “Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space”. Fundamental Journal of Mathematics and Applications, c. 3, sy. 1, 2020, ss. 17-24, doi:10.33401/fujma.643374.
Vancouver Öztürk E. Gauss Map and Local Approach of Isoparametric Surfaces in Lorentz and Euclidean Space. FUJMA. 2020;3(1):17-24.

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