We study locally homogeneous rigid geometric structures on surfaces. We show that a locally homogeneous projective connection on a compact surface is flat. We also show that a locally homogeneous unimodular affine connection ∇ on a two dimensional torus is complete and, up to a finite cover, homogeneous. Let ∇ be a unimodular real analytic affine connection on a real analytic compact connected ...

What problem did the paper address? The big picture problem is how can we improve program performance given the large latency between the processor and memory. An approach that has been used in the past is a transformation called tiling. The paper addresses the problem that not all loops are initially tileable. Specifically they answer the question, what combination of loop permutation, skewing...