Araştırma Makalesi
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A NEW KIND OF HELICOIDAL SURFACE OF VALUE M

Yıl 2014, , 154 - 162, 30.04.2014
https://doi.org/10.36890/iejg.594506

Öz

  

Kaynakça

  • [1] Baikoussis, Chr., Koufogiorgos, T., Helicoidal surfaces with prescribed mean or Gaussian curvature, J. Geom. 63 (1998) 25-29.
  • [2] Beneki, Chr. C., Kaimakamis, G., Papantoniou, B.J., A classification of surfaces of revolution of constant Gaussian curvature in the Minkowski space R3, Bull. Calcutta Math. Soc. 90(1998) 441-458.
  • [3] Beneki, Chr. C., Kaimakamis, G., Papantoniou, B.J., Helicoidal surfaces in three-dimensional Minkowski space, J. Math. Anal. Appl., 275 (2002) 586-614.
  • [4] Bour, E., Théorie de la déformation des surfaces. J. de l’Êcole Imperiale Polytechnique, 22-39 (1862) 1-148.
  • [5] Do Carmo, M., Dajczer, M., Helicoidal surfaces with constant mean curvature, Tohôku Math. J. 34 (1982) 351-367.
  • [6] Dillen, F., Kühnel, W., Ruled Weingarten surfaces in Minkowski 3-space, Manuscripta Math. 98 (1999) 307-320.
  • [7] Eisenhart, L., A Treatise on the Differential Geometry of Curves and Surfaces, Palermo 41 Ginn and Company, 1909.
  • [8] Güler, E., Bour’s theorem and lightlike profile curve. Yokohama Math. J., 54-1 (2007) 55-77.
  • [9] Güler, E., Yaylı, Y., Hacısalihoğlu, H.H., Bour’s theorem on Gauss map in Euclidean 3-space, Hacettepe J. Math. Stat. 39-4 (2010) 515-525.
  • [10] Güler, E., Bour’s minimal surface in three dimensional Lorentz-Minkowski space, (presented in GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo University, Sao Paulo, Brasil) preprint.
  • [11] Hitt, L, Roussos, I., Computer graphics of helicoidal surfaces with constant mean curvature, An. Acad. Brasil. Ciˆenc. 63 (1991) 211-228.
  • [12] Ikawa, T., Bour’s theorem and Gauss map, Yokohama Math. J. 48-2 (2000) 173-180. [13] Ikawa, T., Bour’s theorem in Minkowski geometry, Tokyo J.Math. 24 (2001) 377-394.
  • [14] Kenmotsu, K., Surfaces of revolution with prescribed mean curvature, Tohôku Math. J. 32 (1980) 147-153.
  • [15] Spivac, M., A Comprehensive Introduction to Differential Geometry III, Interscience, New York, 1969.
  • [16] Struik, D.J., Lectures on Differential Geometry, Addison-Wesley, 1961.
Yıl 2014, , 154 - 162, 30.04.2014
https://doi.org/10.36890/iejg.594506

Öz

Kaynakça

  • [1] Baikoussis, Chr., Koufogiorgos, T., Helicoidal surfaces with prescribed mean or Gaussian curvature, J. Geom. 63 (1998) 25-29.
  • [2] Beneki, Chr. C., Kaimakamis, G., Papantoniou, B.J., A classification of surfaces of revolution of constant Gaussian curvature in the Minkowski space R3, Bull. Calcutta Math. Soc. 90(1998) 441-458.
  • [3] Beneki, Chr. C., Kaimakamis, G., Papantoniou, B.J., Helicoidal surfaces in three-dimensional Minkowski space, J. Math. Anal. Appl., 275 (2002) 586-614.
  • [4] Bour, E., Théorie de la déformation des surfaces. J. de l’Êcole Imperiale Polytechnique, 22-39 (1862) 1-148.
  • [5] Do Carmo, M., Dajczer, M., Helicoidal surfaces with constant mean curvature, Tohôku Math. J. 34 (1982) 351-367.
  • [6] Dillen, F., Kühnel, W., Ruled Weingarten surfaces in Minkowski 3-space, Manuscripta Math. 98 (1999) 307-320.
  • [7] Eisenhart, L., A Treatise on the Differential Geometry of Curves and Surfaces, Palermo 41 Ginn and Company, 1909.
  • [8] Güler, E., Bour’s theorem and lightlike profile curve. Yokohama Math. J., 54-1 (2007) 55-77.
  • [9] Güler, E., Yaylı, Y., Hacısalihoğlu, H.H., Bour’s theorem on Gauss map in Euclidean 3-space, Hacettepe J. Math. Stat. 39-4 (2010) 515-525.
  • [10] Güler, E., Bour’s minimal surface in three dimensional Lorentz-Minkowski space, (presented in GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo University, Sao Paulo, Brasil) preprint.
  • [11] Hitt, L, Roussos, I., Computer graphics of helicoidal surfaces with constant mean curvature, An. Acad. Brasil. Ciˆenc. 63 (1991) 211-228.
  • [12] Ikawa, T., Bour’s theorem and Gauss map, Yokohama Math. J. 48-2 (2000) 173-180. [13] Ikawa, T., Bour’s theorem in Minkowski geometry, Tokyo J.Math. 24 (2001) 377-394.
  • [14] Kenmotsu, K., Surfaces of revolution with prescribed mean curvature, Tohôku Math. J. 32 (1980) 147-153.
  • [15] Spivac, M., A Comprehensive Introduction to Differential Geometry III, Interscience, New York, 1969.
  • [16] Struik, D.J., Lectures on Differential Geometry, Addison-Wesley, 1961.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Erhan Güler

Yayımlanma Tarihi 30 Nisan 2014
Yayımlandığı Sayı Yıl 2014

Kaynak Göster

APA Güler, E. (2014). A NEW KIND OF HELICOIDAL SURFACE OF VALUE M. International Electronic Journal of Geometry, 7(1), 154-162. https://doi.org/10.36890/iejg.594506
AMA Güler E. A NEW KIND OF HELICOIDAL SURFACE OF VALUE M. Int. Electron. J. Geom. Nisan 2014;7(1):154-162. doi:10.36890/iejg.594506
Chicago Güler, Erhan. “A NEW KIND OF HELICOIDAL SURFACE OF VALUE M”. International Electronic Journal of Geometry 7, sy. 1 (Nisan 2014): 154-62. https://doi.org/10.36890/iejg.594506.
EndNote Güler E (01 Nisan 2014) A NEW KIND OF HELICOIDAL SURFACE OF VALUE M. International Electronic Journal of Geometry 7 1 154–162.
IEEE E. Güler, “A NEW KIND OF HELICOIDAL SURFACE OF VALUE M”, Int. Electron. J. Geom., c. 7, sy. 1, ss. 154–162, 2014, doi: 10.36890/iejg.594506.
ISNAD Güler, Erhan. “A NEW KIND OF HELICOIDAL SURFACE OF VALUE M”. International Electronic Journal of Geometry 7/1 (Nisan 2014), 154-162. https://doi.org/10.36890/iejg.594506.
JAMA Güler E. A NEW KIND OF HELICOIDAL SURFACE OF VALUE M. Int. Electron. J. Geom. 2014;7:154–162.
MLA Güler, Erhan. “A NEW KIND OF HELICOIDAL SURFACE OF VALUE M”. International Electronic Journal of Geometry, c. 7, sy. 1, 2014, ss. 154-62, doi:10.36890/iejg.594506.
Vancouver Güler E. A NEW KIND OF HELICOIDAL SURFACE OF VALUE M. Int. Electron. J. Geom. 2014;7(1):154-62.