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PhysicsRock's latest activity
PhysicsRock
reacted to
WWGD's post
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I
Induced orientation on boundary of ##\mathbb{H}^n## in ##\mathbb{R}^n##
with
Like
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Yes, this is why/how, the determinant comes into place.
Apr 1, 2024
PhysicsRock
reacted to
jbergman's post
in the thread
I
Induced orientation on boundary of ##\mathbb{H}^n## in ##\mathbb{R}^n##
with
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No.
Mar 19, 2024
PhysicsRock
replied to the thread
I
Induced orientation on boundary of ##\mathbb{H}^n## in ##\mathbb{R}^n##
.
Does that make a difference? Probably easy to check, but I know myself very well and I tend to make the worst mistakes with the easiest...
Mar 19, 2024
PhysicsRock
replied to the thread
I
Induced orientation on boundary of ##\mathbb{H}^n## in ##\mathbb{R}^n##
.
This is a very helpful insight that I've actually never seen. Unfortunately, I haven't been able to take a proper differential geometry...
Mar 18, 2024
PhysicsRock
posted the thread
I
Induced orientation on boundary of ##\mathbb{H}^n## in ##\mathbb{R}^n##
in
Differential Geometry
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To my understanding, an orientation can be expressed by choosing a no-where vanishing top form, say ##\eta := f(x^1,...,x^n) dx^1 \wedge...
Mar 18, 2024
PhysicsRock
reacted to
romsofia's post
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Resources on the Derivation of generalized Stokes' theorem
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https://sites.science.oregonstate.edu/physics/coursewikis/GDF/book/gdf/stokes.html is a non "proof" version, but if you're giving an...
Mar 17, 2024
PhysicsRock
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Resources on the Derivation of generalized Stokes' theorem
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This is actually brilliant, because Stokes by itself works without a metric, but I'm still supposed to cover how one may appear when...
Mar 17, 2024
PhysicsRock
reacted to
martinbn's post
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Resources on the Derivation of generalized Stokes' theorem
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https://www.math.purdue.edu/~arapura/preprints/diffforms.pdf
Mar 13, 2024
PhysicsRock
reacted to
jbergman's post
in the thread
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Resources on the Derivation of generalized Stokes' theorem
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Not sure what you are looking for but Lee's Introduction to smooth manifolds chapter in Integration of forms is a great source. I...
Mar 13, 2024
PhysicsRock
reacted to
WWGD's post
in the thread
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Resources on the Derivation of generalized Stokes' theorem
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I suspect DoCarmo's book on differential forms may have something on it too.
Mar 13, 2024
PhysicsRock
replied to the thread
I
Resources on the Derivation of generalized Stokes' theorem
.
Great, thank you!
Mar 13, 2024
PhysicsRock
replied to the thread
I
Resources on the Derivation of generalized Stokes' theorem
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Thank you. I'll check that out.
Mar 12, 2024
PhysicsRock
replied to the thread
I
Resources on the Derivation of generalized Stokes' theorem
.
True, my mistake. I guess I'll ask my professor if a proof would do the job, assuming we already know the theorem and just wanted to...
Mar 11, 2024
PhysicsRock
replied to the thread
I
Resources on the Derivation of generalized Stokes' theorem
.
To me, a proof means starting with the theorem and ending somewhere else, a true statement would be good. A derivation would do the...
Mar 11, 2024
PhysicsRock
posted the thread
I
Resources on the Derivation of generalized Stokes' theorem
in
Differential Geometry
.
Hello everyone, as part of my bachelor studies, I need to attend a seminar with the aim to prepare a presentation of about an hour on a...
Mar 11, 2024
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