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Biharmonic surfaces in pseudo-Euclidean spaces. (English) Zbl 0757.53009

A surface immersion is called biharmonic, if it is annihilated by the square of its Laplacian. Minimal surfaces are examples, and in Euclidean 3-space they are the only examples. The authors give other examples and classification results in the pseudo-Euclidean case.
Reviewer: D.Ferus (Berlin)

MSC:

53B25 Local submanifolds
31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
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