Erhan GÜLER, Hilmi HACISALIHOĞLU H.

TIMELIKE ROTATIONAL SURFACES WITH LIGHTLIKE PROFILE CURVE

ISSN: 1303-5991
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1948
Yayıncı: Ankara Üniversitesi

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,

PDF

___

[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)