# Search results

1. ### Part time Jobs

Does anyone know a way for someone with good mathematical and computer science(including programming) skills to make some money doing part time work? I guess someone could look at my other posts to assess my level of mathematical competence. Something that would take around 10 hours per week...
2. ### Theories of gravity

Do any theories of gravity exist other than general relativity that are capable of explaining the perihelion of mercury's orbit? In particular, I would like to know if a theory of gravity exists that does not impose the fact that nothing can exceed the speed of light in a vacuum. Newton's theory...
3. ### Let M be a three dimensional Riemannian Manifold that is compact . . .

Let M be a three dimensional Riemannian Manifold that is compact and does not have boundary. I believe manifolds that are compact and without boundary are called closed. So, my manifold M is closed. I'm interested in knowing the answers to the following questions. Under what conditions is...
4. ### Thurston Geometries

Hi, Every Thurston Geometry (X,Isom(X)) with the exception of the geometry modeled on S^2xR can be achieved as a 3D Lie group with a left-invariant metric. That is, the space X=G, where G is a 3D Lie group with a left-invariant metric. After picking a left-invariant frame field consisting of...
5. ### Lie Groups

Let G be a 3-dimensional simply-connected Lie group. Then, G is either 1.)The unit quaternions(diffeomorphic as a manifold to S$^{3}$) with quaternionic multiplication as the group operation. 2.)The universal cover of PSL$\left( 2,\Bbb{R}\right)$ 3.)The...