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- W1489968416 abstract "We prove that every real ellipsoid <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper M subset-of double-struck upper C squared> <mml:semantics> <mml:mrow> <mml:mi>M</mml:mi> <mml:mo>⊂<!-- ⊂ --></mml:mo> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>C</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> <mml:annotation encoding=application/x-tex>Msubset mathbb {C}^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula> admits at least four umbilical points, which can be compared to the result of Webster that a generic real ellipsoid in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper C Superscript n> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>C</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {C}^n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n greater-than-or-equal-to 3> <mml:semantics> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>≥<!-- ≥ --></mml:mo> <mml:mn>3</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>nge 3</mml:annotation> </mml:semantics> </mml:math> </inline-formula> does not admit any umbilical point." @default.
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- W1489968416 date "2006-08-15" @default.
- W1489968416 modified "2023-09-24" @default.
- W1489968416 title "Every real ellipsoid in ℂ² admits CR umbilical points" @default.
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- W1489968416 doi "https://doi.org/10.1090/s0002-9947-06-04069-4" @default.
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