Recent content by pcr

I'm trying to better understand how people refer to symmetry in Physics and Differential Geometry. In "Exterior Differential Systems and Euler Lagrange Partial Differential Equations," by Bryant, Griffiths and Grossman, it seems a vector field is a symmetry of a Lagrangian if the Lie derivative...

Perhaps roll, pitch and Yaw for an airplane, but I don't really know. Perhaps someone else does.

Hello again. Today I would like to ask how many coordinate patches is takes to cover S3? And how many poles are there on a three sphere, if that makes sense?

Thank you, that was helpful!

Thank you, that was helpful!

Thank you, that was helpful

Thank you this was very helpful!

How would one parameterize the three-sphere? Would three angles work: latitude, longitude and something?