Tensor Calculus Ep. 15 | Riemann Curvature Tensor

Todays episode explores the concept of curvature, and we finally arrive at the Riemann Curvature Tensor.

Eigenchris's video:

This series is based off of the book "Tensor Calculus for Physics" by Dwight Neuenschwander

0:00 Introduction
1:45 Extrinsic/Intrinsic Curvature
6:32 Parallel Transporting Vector
11:32 Derivatives as Generators of Translation
14:50 Commutator of Covariant Derivatives
32:46 The Riemann Curvature Tensor
35:49 RCT Analogy to Intro Calculus
37:08 Do Cylinders have Intrinsic Curvature
38:24 2-D Sphere vs 3-D Euclidian Metric in Spherical Coordinates
40:25 Next Videos and Conclusion

[maureendotson]

1st. I can’t believe it! Now I need to go back & watch it 😊. Ok I went back to watch ...and... I like your haircut! ~ Love Mom 💕

[oleksiishekhovtsov]

After 245 days in development let's hope this episode is worth the wait :3

[thomaslecky]

“It turns out this is not just a condescending question, it is also a stupid question” lmao

[lckite]

Im only 7 minutes into the video but i already love that you make me feel engaged instead of some professors who just throw a buch of equations at you and expect you to follow what they are doing

[justanotherguy]

Dude you made me smile, because its 3 a.m and I am watching your video. Thank you!

[nervousboy]

I don't know anything at all about any of this, but I still somehow watched this video from start to end.

[deepakhdraws]

I'm your fan and physics is my passion and you are one more reason to follow it. Thanks man.

[sdlgg]

Perfect timing, just recently started to talk about the curvature tensor in my GR course

[hadialawieh]

Hi Andrew next year will be my first year of college physics, i love all your videos and aspire to become like you in the future ❤❤❤

[Samperdog]

Love these! Shared with a few of my grad friends since we're more AMO focused and don't get to play with this stuff outside of our own time. Can't wait for the next one!!

[mastershooter]

please don't stop making videos!!!

[captaincarcass]

as a high school student, this is not only unhelpful but also impossible to understand. I still watched it to make myself feel smarter though

[arnavkumar]

Where is the full playlist? If it is available, please provide the link.

[qusairock]

hey can you please help what is the best book to start digging deeply with tensors i learned a lot of tensors from mary boas but i believe it is not enough any reccomindatios please

[millikkanvillin]

"Hmm... interesting"
(Me, lookin' around the OneNote window, and Andrew's new cut, not paying one bit of attention to the topic at hand)

[RockRadioBlog]

eigenchris is the goat, kudos to you for mentioning him

[mohammadtarshihi]

Nice haircut! Sorry to meddle in about unrelated stuff, but if I may ask, have you chosen someone for the giveaway yet?

[dr.apollo]

Literally watching this in the middle of the night 😂 very interesting

Edit: very well explained btw

[aravindbharathi]

Literally the third video I'm commenting on. Andrew, this series is amazing but please complete it before my semester ends in April *cries*

[bgandrreviews]

Omg 42 minutes this video will be a banger