Recent content by mach4

Great - Thanks! It is a pity that they are not published.

I was wondering whether Oppenheimer's legendary QM lecture notes still exist and can be found somewhere. I only found the content of theses lectures at http://bancroft.berkeley.edu/Exhibits/physics/learning03.html I assume Bohm's book ``Quantum Theory" from 1951 must contain some of the...

uups - you are right. The Riemannian is clearly not linear in the metric. Bad mistake :(. Thus, the operation of adding two positive definite metric is possible and does not lead to any inconsistencies. Great! Thanks again for your help!

Thanks for your help! Both metrics are symmetric positive definite but non-Euclidean. When I check G for -symmetry -bilinearity -non-degeneracy all criteria of a metric seemed to be satisfied. I was just bothered by the fact that g and h are associated with different curvature tensors...

I have a manifold M=S^4 which is endowed with a physical metric g. I can define another metric on this manifold h (a pullback metric). Does it make sense to define a one-parameter family of metrics G(u) on the manifold M in the form G(u) = (1-u)*g + u*h , where u is a parameter in [0,1] ...