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Anton Petrunin
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The geodesic from $p$ to $q_i$ is normal to $C^-(p)$ andat $q_i$. So essentially you ask if two null geodesics from $p$ intersect in $C^-(p)$. Since the cut locus is empty, the answer is no.

The geodesic from $p$ to $q_i$ is normal to $C^-(p)$ and $q_i$. So essentially you ask if two null geodesics from $p$ intersect in $C^-(p)$. Since the cut locus is empty, the answer is no.

The geodesic from $p$ to $q_i$ is normal to $C^-(p)$ at $q_i$. So essentially you ask if two null geodesics from $p$ intersect in $C^-(p)$. Since the cut locus is empty, the answer is no.

Source Link
Anton Petrunin
  • 45k
  • 14
  • 135
  • 299

The geodesic from $p$ to $q_i$ is normal to $C^-(p)$ and $q_i$. So essentially you ask if two null geodesics from $p$ intersect in $C^-(p)$. Since the cut locus is empty, the answer is no.