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Description: |
We will show sharp dynamical implications of convexity on symmetric spheres that do not follow from dynamical convexity. It allows us to furnish new examples of dynamically convex contact forms that are not equivalent to convex ones via contactomorphisms that preserve the symmetry. Moreover, these examples are $C^1$-stable in the sense that they are actually not equivalent to convex ones via contactomorphisms that are $C^1$-close to those preserving the symmetry. Other applications are the existence of elliptic periodic Reeb orbits and the multiplicity of non-hyperbolic closed Reeb orbits under suitable pinching conditions. This is joint work with Miguel Abreu.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Leonardo Macarini (IST, Portugal)
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Institution: |
IST, Portugal
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Place: |
Remote via Zoom: https://videoconf-colibri.zoom.us/j/5441054358
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| Research Groups: |
-Geometry
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See more:
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