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Flat Surfaces with Mean Curvature Vector of Constant Length in Euclidean Spaces

Kazuyuki Enomoto
Proceedings of the American Mathematical Society
Vol. 110, No. 1 (Sep., 1990), pp. 211-215
DOI: 10.2307/2048261
Stable URL: http://www.jstor.org/stable/2048261
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Flat Surfaces with Mean Curvature Vector of Constant Length in Euclidean Spaces
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Abstract

Complete flat surfaces in Rn 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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