klein geometry

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Noun

1. {{lb|en|differential geometry}} A type of [[geometry]] (mathematical object representing a space and its spatial relationships); a [[homogeneous space]] ''X'' together with a [[symmetry group]] which represents the [[group action]] on ''X'' of some [[Lie group]];<br>{{lb|en|more formally}} an [[ordered pair]] (''G'',&nbsp;''H''), where ''G'' is a Lie group and ''H'' a [[closed]] [[Lie subgroup]] of ''G'' such that the [[left coset space]] ''G&nbsp;/&nbsp;H'' is [[connected]].
2. {{lb|en|loosely}} The coset space ''G&nbsp;/&nbsp;H''.

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