Given a unit speed geodesic $c:[0,l]\to M$, if there is no point that is conjugate to $c(0)$ along $c$, is it true that $\forall r,s\in [0,l]$ $c(s)$ is not conjugate to $c(r)$.
And can a point conjugate to itself?
Given a unit speed geodesic $c:[0,l]\to M$, if there is no point that is conjugate to $c(0)$ along $c$, is it true that $\forall r,s\in [0,l]$ $c(s)$ is not conjugate to $c(r)$.
And can a point conjugate to itself?
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