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<p>This paper deals with the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\cal{C}^{0}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <msup> <mrow> <mi mathvariant="script">C</mi> </mrow> <mrow> <mn class="MJX-tex-caligraphic" mathvariant="script">0</mn> </mrow> </msup> </math></EquationSource> </InlineEquation>-rigidity of the reduction of coiostropic submanifolds under the action of symplectic homeomorphisms. More precisely, we exhibit several situations where a symplectic homeomorphism that takes a coisotropic submanifold to a smooth submanifold (which are then known to be coisotropic by a result of Humilière–Leclercq–Seyfaddini) abides to the non-squeezing property in the reduction.</p>

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Symplectic Camel theorems and \(\cal{C}^{0}\)-rigidity of coisotropic submanifolds

  • 期刊论文

  • 发表日期：

    2025年12月11日

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  • Emmanuel Opshtein

摘要

This paper deals with the \(\cal{C}^{0}\) C 0 -rigidity of the reduction of coiostropic submanifolds under the action of symplectic homeomorphisms. More precisely, we exhibit several situations where a symplectic homeomorphism that takes a coisotropic submanifold to a smooth submanifold (which are then known to be coisotropic by a result of Humilière–Leclercq–Seyfaddini) abides to the non-squeezing property in the reduction.