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- W2087139245 abstract "The following extension of the Carathéodory conjecture on umbilics is proposed and solved—in very special cases: Let N: M→S2 be the Gauss map of a C3 ovaloid M⊂R3. Let A be the set of umbilics q∈M such that N(q)=q. If A is a connected component of A, then, each connected component of MA contains at least an umbilic point of M." @default.
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- W2087139245 date "2000-11-01" @default.
- W2087139245 modified "2023-09-27" @default.
- W2087139245 title "Ovaloids of R3 and Their Umbilics: A Differential Equation Approach" @default.
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- W2087139245 doi "https://doi.org/10.1006/jdeq.2000.3884" @default.
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