Last Updated
：2025/12/06
totally geodesic
Adjective
not-comparable
Japanese Meaning
全体の多様体における測地線が、その部分多様体内の測地線としても維持されるような部分多様体の性質。 / 周囲の多様体の幾何学的構造を反映し、部分多様体内のあらゆる測地線が、外部多様体でも測地線となる状態。
Quizzes for review
(mathematics) describing a submanifold whose geodesics are also geodesics of the surrounding manifold
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totally geodesic
The mathematician showed that the surface is totally geodesic, so every geodesic on it extends to a geodesic in the ambient manifold.
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The mathematician showed that the surface is totally geodesic, so every geodesic on it extends to a geodesic in the ambient manifold.
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