SAUFBE 17. Cilt 1. Sayı

Page 124

Sabit Olmayan Ortalama Eğrilikli Timelike Bonnet Yüzeyler

S. Ersoy, K. Eren

KAYNAKLAR [1] BONNET, O., Mémoire sur la théorie des surfaces applicables, J. École Polytech. 42 (1867), 72-92. [2] CARTAN, E., Sur les couples de surfaces applicables avec conservation des courbures principales, Bull. Sc. Math. 66 (1942), 1-30; reprinted in: Oeuvres Completes, Partie III, vol.2, 1591-1620. [3] LAWSON, H. B., Complete minimal surface in S 3 , Ann. of Math. (2), 92 (1970), 335-374. [4] CHERN, S. S., Deformation of surfaces preserving principal curvature, Differ. Geo. and Complex Anal., H. E. Rauch Memorial volume, Springer-Verlag (1985) 155-163. [5] ROUSSOS, I. M., The helicoidal surfaces as Bonnet surfaces, Tohoku Math. J. (2) 40 (1988), no. 3, 485– 490. [6] ROUSSOS, I. M., Tangent developable surfaces as Bonnet surfaces, Acta Math. Sin. (Engl. Ser.) 15 (1999), no. 2, 269–276. [7] ROUSSOS, I. M., Global results on Bonnet surfaces, J. Geom. 65 (1999), no. 1-2, 151–168. [8] SOYUÇOK, Z., The problem of non-trivial isometries of surfaces preserving principal curvatures, J. Geom. 52 (1995), no. 1-2, 173–188. [9] SOYUÇOK, Z., The problem of isometric deformations of a Euclidean hypersurface preserving mean curvature, Bull. Tech. Univ. 49 (1996), no. 3-4, 551–562. [10] BAĞDATLI, H., SOYUÇOK, Z., On the problem of isometry of a hypersurface preserving mean curvature, Proc. Indian Acad. Sci. Math. Sci. 117 (2007), no. 1, 49–59. [11] CHEN, W., LI, H., On the classification of the timelike Bonnet surfaces, in: Geometry and Topology of Submanifolds, 10, Chern, S. Chen, W., Shelton Street, Covent Garden, London, (1999), 18-31.

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SAU J. Sci. Vol 17, No 1, p. 113-118, 2013


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