Recent content by Mathman_

  1. M

    Proving Tangent Vector Field X on \Re^{3} to a Cylinder in \Re^{3}

    How do I show that a Vector field X on \Re^{3} is tangent to a Cylinder in \Re^{3}?
  2. M

    Calculating Riemann Tensor for S^2 with Pull-Back Metric from Euclidean Space

    Find the Riemann tensor of the 2-sphere of radius r S^{2}_{r}={(x,y,z) \in\Re^{3}|x^{2} + y^{2} + z^{2} = r^{2}} with metric g obtained as the pull-back of the Euclidean metric gR3 by the inclusion map S^{2} \hookrightarrow\Re^{3}. Any help would be appreciated. Thanks