Motions of surfaces in 3-dimensional space. (English) Zbl 0827.70011
Despite of the title, which seems to be misleading to the reviewer, the authors try to give a differential geometric description of deformation of surfaces in three-dimensional Euclidean space. They do this by description of the time evolution of metric and curvature tensors of surfaces. The time evolution is chosen in such a way that a preferred gauge is invariant. At the end some simplified examples are given to apply the theory.
Reviewer: M.Husty (Leoben)
MSC:
| 70G45 | Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics |
| 53A05 | Surfaces in Euclidean and related spaces |
| 53A55 | Differential invariants (local theory), geometric objects |
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