Ovaloids of \(\mathbb{R}^3\) and their umbilics: A differential equation approach
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Publication:1592717
DOI10.1006/jdeq.2000.3884zbMath0994.53002OpenAlexW2087139245MaRDI QIDQ1592717
Publication date: 10 October 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3884
Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
Related Items (2)
Index formulas for higher order Loewner vector fields ⋮ Normal curvatures of asymptotically constant graphs and Carathéodory’s conjecture
Cites Work
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- A proof of a conjecture of Loewner and of the conjecture of Caratheodory on umbilic points
- A note on some developments on Carathéodory conjecture on umbilic points
- Umbilics and lines of curvature for shape interrogation
- Planar vector field versions of Carathéodory's and Loewner's conjectures
- On a Carathéodory's conjecture on umbilics: representing ovaloids
- On conditions for existence of umbilical points on a convex surface
- On a Loewner umbilic-index conjecture for surfaces immersed in \({\mathbb{R}}^4\)
- Über Nabelpunkte auf einer Eifläche
- On G. Bol's proof of Carathéodory's conjecture
- A Sharp Geometric Estimate for the Index of an Umbilic on a Smooth Surface
- On binary differential equations
- On a Conjecture of Carathéodoryr Analyticity Versus Smoothness
- On binary differential equations and umbilics
- Inflection points and topology of surfaces in 4-space
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