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A differential geometric characterization of circular cylinders - MaRDI portal

A differential geometric characterization of circular cylinders (Q1347015)

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scientific article; zbMATH DE number 739191
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English
A differential geometric characterization of circular cylinders
scientific article; zbMATH DE number 739191

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    A differential geometric characterization of circular cylinders (English)
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    30 March 1995
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    A beautiful geometric property, characteristic of circular cylinders, is proved here. More precisely: ``In the Euclidean 3-space, complete and connected smooth surfaces having two proper helical geodesics [neither lines, nor circles] through each point are circular cylinders''.
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    circular cylinders
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    helical geodesics
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