global-analysis-and-the-banach-manifold-of-class-h1-curvers

Riemannian Geometry course project on the manifold H¹(I, M) of class H¹ curves on a Riemannian manifold M and its applications to the geodesics problem

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@book{klingenberg,
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}

@book{lang,
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}

@misc{unitary-group-strong-topology,
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}

@book{palais,
   title =     {Critical Point Theory and Submanifold Geometry},
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   publisher = {Springer},
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   year =      {1988},
   series =    {Lecture Notes in Mathematics},
}

@article{eells,
  title={A setting for global analysis},
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  number={5},
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}

@book{gorodski,
  title   = {An introduction to Riemannian geometry},
  author  = {Claudio Gorodski},
  edition = {Preliminary version 3},
  year    = {2022},
  month   = jun,
  url     = {https://www.ime.usp.br/~gorodski/teaching/mat5771-2022/master07-05-2022.pdf},
}