
arXiv: 1511.00960
We investigate some relations concerning the first and the second Beltrami operators corresponding to the fundamental forms I, II, III of a surface in the three-dimensional Euclidean space and we study surfaces which are of finite type in the sense of B.-Y. Chen with respect to the fundamental forms II and III.
13 pages
Mathematics - Differential Geometry, fundamental form, minimal surface, Surfaces in Euclidean and related spaces, Beltrami operator, Differential Geometry (math.DG), parallel surface, FOS: Mathematics, sphere, surface of finite (Chen) type, 53A05, 53A10
Mathematics - Differential Geometry, fundamental form, minimal surface, Surfaces in Euclidean and related spaces, Beltrami operator, Differential Geometry (math.DG), parallel surface, FOS: Mathematics, sphere, surface of finite (Chen) type, 53A05, 53A10
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