geodesically complete造句

The drainhole manifold is, therefore, geodesically complete.
This shows explicitly why the Rindler chart is " not " geodesically complete; timelike geodesics run outside the region covered by the chart in finite proper time.
The theorem holds also for Hilbert manifolds in the sense that the exponential map of a non-positively curved geodesically complete connected manifold is a covering map (; ).
If, moreover, " M " is assumed to be geodesically complete, then the theorem holds globally, and each " M i " is a geodesically complete manifold.
If, moreover, " M " is assumed to be geodesically complete, then the theorem holds globally, and each " M i " is a geodesically complete manifold.
It's difficult to find geodesically complete in a sentence. 用geodesically complete造句挺难的

Of course, we already knew that the Rindler chart cannot be geodesically complete, because it covers only a portion of the original Cartesian chart, which " is " a geodesically complete chart.
Of course, we already knew that the Rindler chart cannot be geodesically complete, because it covers only a portion of the original Cartesian chart, which " is " a geodesically complete chart.
If X is a Riemannian manifold and G its full group of isometry, then a ( G, X )-structure is complete if and only if the underlying Riemannian manifold is geodesically complete ( equivalently metrically complete ).
The Hopf Rinow theorem asserts that it is possible to define the exponential map on the whole tangent space if and only if the manifold is complete as a metric space ( which justifies the usual term "'geodesically complete "'for a manifold having an exponential map with this property ).