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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.
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.