Examples of isometric immersions of \(\mathbf{R}^2\) into \(\mathbf{R}^4\) with vanishing normal curvature

DOI10.3792/pjaa.95.21zbMath1426.53012OpenAlexW2920057845MaRDI QIDQ2330694

Hiroshi Mori

Publication date: 22 October 2019

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1551344432

zbMATH Keywords

isometric immersionsnormal curvature

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Isometric immersions of Euclidean plane into Euclidean 4-space with vanishing normal curvature
• On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II
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