conformal geometry

"Conformal geometry" focuses on transformations that preserve angles within a given space, making it crucial in fields like complex analysis and theoretical physics.

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Definition

C2Mathematics

(technical, academic)A branch that studies transformations preserving angles but not necessarily lengths or areas.

Example

  • Conformal geometry is essential in understanding the properties of shapes under angle-preserving transformations.
  • In conformal geometry, the angles between curves remain unchanged even though the distances may vary.

Similar

Terms that have similar or relatively close meanings to "conformal geometry":

affine geometrycontact geometryhyperbolic geometryfinite geometrycomplex geometryspherical geometrycombinatorial geometry