Flat surfaces with mean curvature vector of constant length in Euclidean spaces

Enomoto, Kazuyuki

doi:10.1090/S0002-9939-1990-1021209-6

Flat surfaces with mean curvature vector of constant length in Euclidean spaces
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by Kazuyuki Enomoto PDF

Proc. Amer. Math. Soc. 110 (1990), 211-215 Request permission

Abstract:

Complete flat surfaces in ${\mathbb {R}^n}$ are studied under the condition that the normal connection is flat and the length of the mean curvature vector is constant. It is shown that such a surface must be the product of two curves of constant geodesic curvature.

References

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