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edited title

edited Oct 4, 2019 at 1:05

Any homogeneous symplectomorphism of cotangent bundle $\dot{T}^M=T^M-0_M$ preserves the canonical Liouville form?

Let $\phi$ be a homogeneous symplectomorphism of tangent bundle $\dot{T}^*M=T^*M-0_M$ and let $\alpha_M$ be the canonical Liouville 1-form of $\dot{T}^*M$. Then is it true that $\phi^*\alpha_M=\alpha_M$?

sg.symplectic-geometry

asked Sep 30, 2019 at 8:47

SoYu

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Any homogeneous symplectomorphism of cotangent bundle $\dot{T}^*M=T^*M-0_M$ preserves the canonical Liouville form?

Any homogeneous symplectomorphism of cotangent bundle $\dot{T}^M=T^M-0_M$ preserves the canonical Liouville form?