Klein geometry

名词 n.

英文释义

名词 n.
  1. 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;
    — Given a Klein geometry (G,H), the group G is called the principal group and G#47;H is called the space of the geometry.
  2. 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; (more formally) an ordered pair (G, H), where G is a Lie group and H a closed Lie subgroup of G such that the left coset space G / H is connected.; an ordered pair (G, H), where G is a Lie group and H a closed Lie subgroup of G such that the left coset space G / H is connected.
  3. The coset space G / H. broadly

词形变化

Klein geometries plural

词汇关系

相关词
Cayley-Klein geometry

词源

Named after German mathematician Christian Felix Klein (1849—1925). The concept arose from Klein's Erlangen program (published 1872).
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