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On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\)

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Publication:1972766
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DOI10.1023/A:1022877117769zbMath0942.53009OpenAlexW1849698512MaRDI QIDQ1972766

Yanyan Li

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022877117769


zbMATH Keywords

indexanalytic surfaceisolated umbilic point


Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)


Related Items (5)

Bifurcations of simple umbilical points defined by vector fields normal to a surface immersed in \(\mathbb{R}^4\) ⋮ Codazzi fields on surfaces immersed in Euclidean 4-space ⋮ Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\) ⋮ Global properties of codimension two spacelike submanifolds in Minkowski space ⋮ Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach




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