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(geometry) The study of conformal (angle-preserving) transformations on a space; / (formally) an ordered pair comprising a space and the group of conformal transformations that act on the space.

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conformal geometry

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conformal geometry

noun

(geometry) The study of conformal (angle-preserving) transformations on a space; / (formally) an ordered pair comprising a space and the group of conformal transformations that act on the space.

Conformal geometry studies the properties of shapes that are preserved under conformal transformations.

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意味（1）

(geometry) The study of conformal (angle-preserving) transformations on a space;

Generally, conformal geometries naturally appear at infinity for negatively curved Riemannian geometries. Moreover, due to M. Gromov's [5, 6] geometric approach to infinite groups, conformal geometry invents new fruitful methods in combinatorial group theory.

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意味（2）

(formally) an ordered pair comprising a space and the group of conformal transformations that act on the space.

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conformal geometry

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