Affine Biharmonic Curves in 3-Dimensional Homogeneous Geometries

Author:

Inoguchi Jun-ichi,Lee Ji-Eun

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference38 articles.

1. Baikoussis C., Blair D. E.: On Legendre curves in contact 3-manifolds. Geom. Dedicata 49, 135–142 (1994)

2. Balmuş A.: On the biharmonic curves of the Euclidian and Berger 3-dimensional spheres. Sci. Ann. Univ. Agric. Sci. Vet. Med. 47, 87–96 (2004)

3. Balmuş A., Oniciuc C.: Some remarks on the biharmonic submanifolds of S 3 and their stability. An. Stiint. Univ. Al. I. Cuza Iasi, Mat. (N.S.) 51, 171–190 (2005)

4. M. Belkhelfa, F. Dillen and J. Inoguchi, Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces, PDE’s, Submanifolds and Affine Differential Geometry (Warsaw, 2000), 67–87, Banach Center Publ. 57, Polish Acad. Sci., Warsaw, 2002, pp. 67–87.

5. L. Bianchi, Memorie di Matematica e di Fisica della Societa Italiana delle Scienze, Serie Tereza, Tomo XI (1898), 267–352. English Translation: On the three-dimensional spacse which admit a continuous group of motions, General Relativity and Gravitation 33 (2001), no. 12, 2171–2252.

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