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An Introduction to Contact Geometry,A . on an odd-dimensional manifold . of dimension 2. + 1 is a one-form . such that the (2. + 1)-form Ω given by . defines a volume form on .. We observe that any manifold admitting a contact form is necessarily orientable, and that a contact form defines a natural orientation.CRANK 发表于 2025-3-22 06:11:09
Finite Energy Planes and Periodic Orbits,In this chapter we will prove the main result on finite energy planes due to H. Hofer [.] (see also [.]). Namely, given any manifold . equipped with a contact form ., denote by . → . the associated contact structure and by .. the associated Reeb vector field.commute 发表于 2025-3-22 12:43:20
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Disk Filling Methods and Applications,Let (., .) be a closed three dimensional contact manifold with overtwisted contact structure .. Then there exists a contractible periodic orbit for the Reeb vector field ...镇痛剂 发表于 2025-3-23 06:04:51
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