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🔗 Source: opus.bibliothek.uni-augsburg.de
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The main result is that under a Morse condition, sc-gradient flow lines have uniform exponential decay towards critical points. The paper uses interpolation inequalities to prove exponential decay, which is essential for constructing a M-polyfold bundle over a M-polyfold. The sc-language by Hofer-Wysocki-Zehnder is used to define a good notion of a Morse critical point, and sc-spaces are used to prove exponential decay estimates. The paper also discusses the relationship between sc-action functionals and symplectic area functionals, and provides an example of a sc-action functional.

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The main result is that under a Morse condition, sc-gradient flow lines have uniform exponential decay towards critical points.

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  • File Format: PDF
  • File Size: 191 KB
  • Pages: 15
  • Language: EN
  • Total Downloads: 460
  • Last Updated: 3 weeks ago

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