TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE

Erhan Güler; Hilmi Hacısalıhoğlu H.

doi:10.1501/Commua1_0000000667

TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE

Yıl 2011, Cilt: 60 Sayı: 1, 27 - 47, 01.02.2011

Erhan Güler Hilmi Hacısalıhoğlu H.

https://doi.org/10.1501/Commua1_0000000667

Öz

In this work, some geometric properties of the timelike rotational
surfaces with lightlike profile curve of (S, L), (T,L) and (L, L) − types are
shown in Minkowski 3−space.

Anahtar Kelimeler

Rotational surface, null proŞle curve, Gauss map, mean curvature

Kaynakça

[1] Beneki, Chr. C., Kaimakamis, G. and Papantoniou, B. J. Helicoidal surfaces in three dimensional Minkowski space, J. Math. Anlys. Appl. 275, (2002) 586-614.
[2] Bour, E. Memoire sur le deformation de surfaces, Journal de l’Êcole Polytechnique, XXXIX Cahier 1—148 (1862).
[3] Güler, E. Bour’s theorem and lightlike profile curve, Yokohama Math. J. 54-1, (2007) 55-77.
[4] Hacısalihoglu, H. H. ˘ Yüksek Diferensiyel Geometriye Giri¸s, Fırat Üniversitesi Fen Fakültesi Yayınları, Mat-No.2 (2006).
[5] Hacısalihoglu, H. H. and Ekmekçi, N. ˘ Tensör Geometri, Ankara Üniversitesi Fen Fakültesi Yayınları, (2003).
[6] Ikawa, T. Bour’s theorem and Gauss map, Yokohama Math. J. 48, (2000) 173—180.
[7] Ikawa, T. Bour’s theorem in Minkowski geometry, Tokyo J. Math. 24, (2001) 377—394.
[8] Niang, A. On rotation surfaces in the Minkowski 3 dimensional space pointwise 1-type Gauss map, J. Korean Math. Soc., 41-6 (2004) 1007-1021.
[9] O ‘Neill, B. Semi Riemannian Geometry, Academic Press, New York (1983)

Yıl 2011, Cilt: 60 Sayı: 1, 27 - 47, 01.02.2011

Erhan Güler Hilmi Hacısalıhoğlu H.

https://doi.org/10.1501/Commua1_0000000667

Öz

Kaynakça

[1] Beneki, Chr. C., Kaimakamis, G. and Papantoniou, B. J. Helicoidal surfaces in three dimensional Minkowski space, J. Math. Anlys. Appl. 275, (2002) 586-614.
[2] Bour, E. Memoire sur le deformation de surfaces, Journal de l’Êcole Polytechnique, XXXIX Cahier 1—148 (1862).
[3] Güler, E. Bour’s theorem and lightlike profile curve, Yokohama Math. J. 54-1, (2007) 55-77.
[4] Hacısalihoglu, H. H. ˘ Yüksek Diferensiyel Geometriye Giri¸s, Fırat Üniversitesi Fen Fakültesi Yayınları, Mat-No.2 (2006).
[5] Hacısalihoglu, H. H. and Ekmekçi, N. ˘ Tensör Geometri, Ankara Üniversitesi Fen Fakültesi Yayınları, (2003).
[6] Ikawa, T. Bour’s theorem and Gauss map, Yokohama Math. J. 48, (2000) 173—180.
[7] Ikawa, T. Bour’s theorem in Minkowski geometry, Tokyo J. Math. 24, (2001) 377—394.
[8] Niang, A. On rotation surfaces in the Minkowski 3 dimensional space pointwise 1-type Gauss map, J. Korean Math. Soc., 41-6 (2004) 1007-1021.
[9] O ‘Neill, B. Semi Riemannian Geometry, Academic Press, New York (1983)

Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	Türkçe
Bölüm	Research Article
Yazarlar	Erhan Güler Bu kişi benim Hilmi Hacısalıhoğlu H. Bu kişi benim
Yayımlanma Tarihi	1 Şubat 2011
Yayımlandığı Sayı	Yıl 2011 Cilt: 60 Sayı: 1

Kaynak Göster

APA	Güler, E., & Hacısalıhoğlu H., H. (2011). TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 60(1), 27-47. https://doi.org/10.1501/Commua1_0000000667
AMA	Güler E, Hacısalıhoğlu H. H. TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2011;60(1):27-47. doi:10.1501/Commua1_0000000667
Chicago	Güler, Erhan, ve Hilmi Hacısalıhoğlu H. “TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60, sy. 1 (Şubat 2011): 27-47. https://doi.org/10.1501/Commua1_0000000667.
EndNote	Güler E, Hacısalıhoğlu H. H (01 Şubat 2011) TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60 1 27–47.
IEEE	E. Güler ve H. Hacısalıhoğlu H., “TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 60, sy. 1, ss. 27–47, 2011, doi: 10.1501/Commua1_0000000667.
ISNAD	Güler, Erhan - Hacısalıhoğlu H., Hilmi. “TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60/1 (Şubat 2011), 27-47. https://doi.org/10.1501/Commua1_0000000667.
JAMA	Güler E, Hacısalıhoğlu H. H. TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60:27–47.
MLA	Güler, Erhan ve Hilmi Hacısalıhoğlu H. “TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 60, sy. 1, 2011, ss. 27-47, doi:10.1501/Commua1_0000000667.
Vancouver	Güler E, Hacısalıhoğlu H. H. TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2011;60(1):27-4.