Sentence examples for be a minimizing geodesic from inspiring English sources

Let (gamma:[0, rho(x_{1})]rightarrow M) be a minimizing geodesic joining (x_{0}) and (x_{1}), where (rho(x)) is the distance function (operatorname {dist}_{M}(x_{0}, x)).

Let ({t_{n}}) be a minimizing sequence.

Let be a minimizing sequence for problem (13).

Let ({u_{n}}) be a minimizing sequence of (I_{lambda}).

Let ({u_{n}}) be a minimizing sequence of (c^_{k}).

To describe the path of muscle fibres on the inner surface of these muscles, the problem can be approached as a minimizing geodesic path on the delimiting bony surfaces [1].

Therefore, if ((rho_{n})) is a minimizing sequence of F in ({mathcal{A}}_{M}), then ((Trho_{n})) is a minimizing sequence of F in ({mathcal{A}}_{M}) too.

Let be a geodesic space with no bifurcating geodesics and let be a nonempty subset of.

Let X be a uniquely geodesic space.

For suppose we identify the two spheres, treating space as cylindrical, then the geodesic joining the sphere would still be a geodesic and remain the same length.

Let be a geodesic space.