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Ruled surfaces in Euclidian spaces. (English) Zbl 1089.53014
Author’s summary: A vector field along a curve in an Euclidean space generates a ruled surface. The invariants of the intrinsic geometry of such a surface are expressed by the invariants of the given vector field. Using a theorem of S. S. Chern we show that a ruled surface can not be immersed as a minimal surface in the Euclidean space.

MSC:
53A25 Differential line geometry
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