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- W1490200511 abstract "We outline the construction of a proper <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C squared> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>C^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-smooth function on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper R Superscript 4> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mn>4</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {R}^4</mml:annotation> </mml:semantics> </mml:math> </inline-formula> such that its Hamiltonian flow has no periodic orbits on at least one regular level set. This result can be viewed as a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C squared> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>C^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-smooth counterexample to the Hamiltonian Seifert conjecture in dimension four." @default.
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- W1490200511 date "2002-06-19" @default.
- W1490200511 modified "2023-10-17" @default.
- W1490200511 title "On the construction of a 𝐶²-counterexample to the Hamiltonian Seifert Conjecture in ℝ⁴" @default.
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- W1490200511 doi "https://doi.org/10.1090/s1079-6762-02-00100-2" @default.
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