The isometries on a Manifold and metric form a group Iso(M).

For a flat plane tex2html_wrap83 with Euclidean metric, Iso(M)= tex2html_wrap84 . dimension = tex2html_wrap85

for tex2html_wrap86 , tex2html_wrap87 with dimension tex2html_wrap85 .

These are maximally symmetric spaces.

dim(Iso(M)) tex2html_wrap89 .


source
psfile jl@crush.caltech.edu index
killing_vector
metric