Abstract
Let M be a Riemannian manifold with the corresponding affine connection, X an infinitesimal motion on M, and V 0 the tangent space at a point 0 ? M. Let S 0 (the holonomy algebra) be the Lie algebra of the restricted holonomy group at 0 ? M.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Additional information
Communicated by S. Lefscheiz, February 9, 1956
Rights and permissions
Copyright information
© 2009 Springer-Verlag New York
About this chapter
Cite this chapter
Kostant, B. (2009). On Differential Geomentry and Homogeneous Spaces. I.. In: Joseph, A., Kumar, S., Vergne, M. (eds) Collected Papers. Springer, New York, NY. https://doi.org/10.1007/b94535_5
Download citation
DOI: https://doi.org/10.1007/b94535_5
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-09582-0
Online ISBN: 978-0-387-09583-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)