conformal geometry

countable uncountable formal

(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.

Japanese Meaning

角度を保存する変換が定義される空間上での幾何学的性質を研究する学問。 / 形式的には、空間とその空間上で作用する角度保存変換の群から構成される順序対としての幾何学。

What is this buttons?

In conformal geometry, mathematicians examine how angle-preserving maps reveal hidden symmetries of a manifold.

Google Translation / DeepL Translation

保角幾何学では、数学者たちが角度を保つ写像が多様体の隠れた対称性をどのように明らかにするかを調べる。

Details

Sense（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.

Google Translation / DeepL Translation

Details

Sense（2）

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

conformal geometries

（ plural ）

Details

conformal geometry

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