Remarks on the oscillation energy of Legendrian isotopies
نویسندگان
چکیده
We construct non-compact contact manifolds containing compact Legendrians which can be displaced from their Reeb flow with arbitrarily small oscillation energy. use this to show the Shelukhin-Chekanov-Hofer pseudo-metric considered by Rosen and Zhang (Math. Res. Lett. 27:1165–1193, 2020) is degenerate on isotopy class of constructed Legendrians. Other aspects related energy Legendrian isotopies are explored.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2023
ISSN: ['0046-5755', '1572-9168']
DOI: https://doi.org/10.1007/s10711-023-00825-8