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March 2019 Examples of isometric immersions of $\mathbf{R}^{2}$ into $\mathbf{R}^{4}$ with vanishing normal curvature
Hiroshi Mori
Proc. Japan Acad. Ser. A Math. Sci. 95(3): 21-23 (March 2019). DOI: 10.3792/pjaa.95.21

Abstract

We construct a family of isometric immersions of $\mathbf{R}^{2}$ into $\mathbf{R}^{4}$ with vanishing normal curvature.

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Hiroshi Mori. "Examples of isometric immersions of $\mathbf{R}^{2}$ into $\mathbf{R}^{4}$ with vanishing normal curvature." Proc. Japan Acad. Ser. A Math. Sci. 95 (3) 21 - 23, March 2019. https://doi.org/10.3792/pjaa.95.21

Information

Published: March 2019
First available in Project Euclid: 28 February 2019

zbMATH: 07121249
MathSciNet: MR3917912
Digital Object Identifier: 10.3792/pjaa.95.21

Subjects:
Primary: 53C42

Keywords: isometric immersions , normal curvature

Rights: Copyright © 2019 The Japan Academy

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Vol.95 • No. 3 • March 2019
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