Broadly the study of properties of given elements that remain invariant under specified transformations How to use geometryDefinition of geometry in the Definitionsnet dictionary Meaning of geometry What does geometry mean?JW Cannon also gave a definition "A geometry is a topological space endowed with a proper path metric" He also gave a definition of a geometric group action "A group action is geometric on a set S if S is a geometry and the action is isometric, cocompact and properly discontinuous"
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