conformal geometry

Word Rarity Rare

Frequency: Zipf frequency 2.53 in modern English

Syllables: con-for-mal -ge-om-e-try
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Meaning

noun

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

Countable; Uncountable

noun

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.

Countable; Formal; Uncountable

Example Sentences

"2000, Boris N. Apanasov, Conformal Geometry of Discrete Groups and Manifolds, Walther de Gruyter, page vii, 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."
"The lectures concerned the study of some non-linear partial differential equations related to curvature invariants in conformal geometry."
"This chapter gives a brief introduction of the basic theoretic foundations and profound and beautiful structures of conformal geometry."

Etymology

From conformal + geometry.

Word Breakdown

Root: *meh₁-

Usage

Inflected Forms

conformal geometries (plural)

Phrases

conformal manifold conformal metric conformal transformation Klein geometry Möbius geometry pseudo-Riemannian manifold Riemann surface Riemannian manifold

Frequently Paired Words