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Geometry given a metric



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Gradient flows in metric spacesMetric Spaces needed for Differential GeometryGeometry of Metric SpacesWhat is the metric on a cone?Does it make sense to apply the Manhattan metric to an arbitrary graph?Why pseudo-Riemannian metric cannot define a topology?What is rotation when we have a different distance metric?Are convex metric spaces the “only” way to study ordered geometry within metric geometry?What is the mathematical motivation behind metric geometryHyperbolic geometry vs. hyperbolic plane










0












$begingroup$


if I have a metric like this:



$ds^2=dr^2 +e^2r dtheta^2$



how do I visualise the geometry/topology ?
Can someone make a graph for that?



I cannot visualise how can you rotate through an angle $theta$ and making a displacement when $r=0$.










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    if I have a metric like this:



    $ds^2=dr^2 +e^2r dtheta^2$



    how do I visualise the geometry/topology ?
    Can someone make a graph for that?



    I cannot visualise how can you rotate through an angle $theta$ and making a displacement when $r=0$.










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      if I have a metric like this:



      $ds^2=dr^2 +e^2r dtheta^2$



      how do I visualise the geometry/topology ?
      Can someone make a graph for that?



      I cannot visualise how can you rotate through an angle $theta$ and making a displacement when $r=0$.










      share|cite|improve this question









      $endgroup$




      if I have a metric like this:



      $ds^2=dr^2 +e^2r dtheta^2$



      how do I visualise the geometry/topology ?
      Can someone make a graph for that?



      I cannot visualise how can you rotate through an angle $theta$ and making a displacement when $r=0$.







      metric-spaces






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 31 at 18:29









      ODEODE

      142




      142




















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