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

Author:
Kazuyuki Enomoto

Journal:
Proc. Amer. Math. Soc. **110** (1990), 211-215

MSC:
Primary 53A10

MathSciNet review:
1021209

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Abstract: Complete flat surfaces in 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.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1990-1021209-6

Keywords:
Flat surface,
mean curvature vector,
product surface

Article copyright:
© Copyright 1990
American Mathematical Society