Request: Solved Problems in R.Geometry; Connections, etc.by WWGD Tags: connections, rgeometry, solved 

#1
May910, 11:22 PM

P: 398

Hi, everyone:
I need to give a small presentation in front of a group of nonmathematicians on connections, and covariant differentiation; I can handle the thoery O.Kenough but I would like to have some solved problems/examples. Anyone know of a book or other sources with solved problems/examples on connections, riemannian geometry, say, books for physicists, etc. Thanks in Advance. 



#2
May1410, 05:43 PM

P: 448

My copy seems not to be on my shelf at the moment, but I recall that Problem Book in Relativity and Gravitation by Lightman et al has plenty of solved problems in this area. Any standard text on general relativity should also contain what you're looking for.




#3
May1410, 10:09 PM

Sci Advisor
P: 1,716

Next simplest is the projection of the derivative onto a surface's tangent space. So give a vector field along a curve on a surface  differentiate is in some direction on the surface then project. Work out examples on the sphere, along a curve in Eucliean space, on a helicoid. You could then use the same examples to easily compute some geodesics. Books an elementary DG are full of examples e.g. Struck's History of Diff Geo. 



#4
May1710, 12:07 PM

Sci Advisor
P: 1,716

Request: Solved Problems in R.Geometry; Connections, etc.
I also remember that Thorne and Wheeler have an elementary book on GR called Black Holes. I think they work in concrete examples.



Register to reply 
Related Discussions  
Vector geometry, some problems.  Precalculus Mathematics Homework  1  
Computationl Geometry problems  Calculus & Beyond Homework  10  
Geometry: several problems. Try!  Introductory Physics Homework  2  
Help with Geometry Problems  General Math  5 