TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE

Erhan Güler; Hilmi Hacısalıhoğlu H.

doi:10.1501/Commua1_0000000667

TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE

Year 2011, Volume: 60 Issue: 1, 27 - 47, 01.02.2011

Erhan Güler Hilmi Hacısalıhoğlu H.

https://doi.org/10.1501/Commua1_0000000667

Abstract

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.

Keywords

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

References

[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)

Year 2011, Volume: 60 Issue: 1, 27 - 47, 01.02.2011

Erhan Güler Hilmi Hacısalıhoğlu H.

https://doi.org/10.1501/Commua1_0000000667

Abstract

References

[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)

There are 9 citations in total.

Details

Primary Language	Turkish
Journal Section	Research Articles
Authors	Erhan Güler This is me Hilmi Hacısalıhoğlu H. This is me
Publication Date	February 1, 2011
Published in Issue	Year 2011 Volume: 60 Issue: 1

Cite

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. February 2011;60(1):27-47. doi:10.1501/Commua1_0000000667
Chicago	Güler, Erhan, and Hilmi Hacısalıhoğlu H. “TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 60, no. 1 (February 2011): 27-47. https://doi.org/10.1501/Commua1_0000000667.
EndNote	Güler E, Hacısalıhoğlu H. H (February 1, 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 and H. Hacısalıhoğlu H., “TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 60, no. 1, pp. 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 (February 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 and Hilmi Hacısalıhoğlu H. “TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 60, no. 1, 2011, pp. 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.