descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Other literature type 01 Dec 1957 English Publisher:Springer New YorkJournal:Nagoya Mathematical Journal, volume 12, pages 31-54 (issn: 0027-7630, eissn: 2152-6842,

Authors: Kostant, Bertram;

doi: 10.1007/b94535_7 , 10.1017/s0027763000021929

On Holonomy and Homogeneous Spaces

- Summary
- Subjects
- Metrics

Abstract

In general a homogeneous space admits many invariant affine connections. Among these are certain connections which appear in many ways to be more natural than the others. We refer to the connections which K. Nomizu in [4] calls canonical affine connections of the first kind. When G is a compact connected Lie group and K a closed subgroup we called an invariant Riemannian metric on G/K, natural (in [2]) when it induced such a connection.

Related Organizations

Massachusetts Institute of Technology
United States

Keywords

Riemannian manifolds, 22.00, 53.00

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	21
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average