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Signed-off-by: Marcello Seri <marcello.seri@gmail.com>
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mseri committed Nov 11, 2020
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1 change: 1 addition & 0 deletions 6-differentiaforms.tex
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\marginnote{There is a nice book by Guillemin and Haines which is all on differential forms \cite{book:guillemin-haine} and whose draft is freely available on the authors courses website.}
In the rest of the course we will focus on a particular class of tensors, which generalizes the differential one-forms that we studied on the cotangent bundle.
It should not be surprising then, that these will be called differential $k$-forms and that they will be alternating $(0,k)$-tensors, that is, skew-symmetric in all arguments.

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8 changes: 4 additions & 4 deletions aom.bbl
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\field{title}{Differentiable manifolds}
\field{year}{2014}
\verb{urlraw}
\verb https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf
\verb http://web.archive.org/web/20201111215108/https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf
\endverb
\verb{url}
\verb https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf
\verb http://web.archive.org/web/20201111215108/https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf
\endverb
\endentry
\entry{book:knauf}{book}{}
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\field{title}{Mathematische Physik: Klassische Mechanik}
\field{year}{2013}
\verb{urlraw}
\verb https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf
\verb http://web.archive.org/web/20201111215028/https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf
\endverb
\verb{url}
\verb https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf
\verb http://web.archive.org/web/20201111215028/https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf
\endverb
\endentry
\entry{book:thirring}{book}{}
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14 changes: 12 additions & 2 deletions aom.bib
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url = {https://link.springer.com/book/10.1007%2F978-3-642-22597-0}
}

@book{book:guillemin-haine,
doi = {10.1142/11058},
url = {http://web.archive.org/web/20200525224100/https://math.mit.edu/classes/18.952/2018SP/files/18.952_book.pdf},
year = 2019,
month = {mar},
publisher = {{WORLD} {SCIENTIFIC}},
author = {Victor Guillemin and Peter Haine},
title = {Differential Forms}
}

@book{book:knauf,
title = {Mathematical physics: classical mechanics},
author = {Knauf, Andreas},
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title = {Differentiable manifolds},
year = {2014},
note = {Unpublished lecture notes},
url = {https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf}
url = {http://web.archive.org/web/20201111215108/https://people.maths.ox.ac.uk/hitchin/files/LectureNotes/Differentiable_manifolds/manifolds2014.pdf}
}

@misc{lectures:merry,
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title = {Mathematische Physik: Klassische Mechanik},
year = {2013},
note = {Unpublished lecture notes},
url = {https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf}
url = {http://web.archive.org/web/20201111215028/https://www.math.uni-tuebingen.de/de/forschung/maphy/personen/stefanteufel/skripte/skript2013.pdf}
}

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