Tensor product surfaces of euclidean plane curves |
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Authors: | Ion Mihai Bernard Rouxel |
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Affiliation: | 1. Faculté de Mathématiques Str, Academici 14, 70109, Bucarest, Roumanie 2. — Département de Machémaciques Université de Bretagne Occidentale, — Faculté des Sciences et Techniques 6, avenue Le Gorgeu, BP 809, 29285, Brest, Cédex, France
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Abstract: | Recently B.Y. CHEN initiated the study of the tensor product immersion of two immersions of a given Riemannian manifold [3]. In [6] the particular case of tensor product of two Euclidean plane curves was studied. The minimal one were classified, and necessary and sufficient conditions for such a tensor product to be totally real or complex or slant were established. In the present paper we study for tensor product of Euclidean plane curves the problem of B.Y. CHEN: to what extent do the properties of the tensor product immersion f ? h of two immersions f, h determines the immersions f, h ? [3] |
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