Naturally Reductive Metrics and Einstein Metrics on Compact Lie Groups is popular PDF and ePub book, written by J. E. D'Atri in 1979, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Naturally Reductive Metrics and Einstein Metrics on Compact Lie Groups can be Read Online from any device for your convenience.
Naturally Reductive Metrics and Einstein Metrics on Compact Lie Groups Book PDF Summary
The first part of this paper constructs a class of naturally reductive metrics on compact Lie groups and shows that all naturally reductive left invariant metrics are of this type if the group is simple. The second part analyzes the question of when these metrics are Einstein and gives many new examples. In doing this, certain facts are established about the ratios of the Killing forms of a Lie algebra and a subalgebra. Finally, some results are obtained for noncompact groups and more general compact homogeneous spaces.
Detail Book of Naturally Reductive Metrics and Einstein Metrics on Compact Lie Groups PDF
- Author : J. E. D'Atri
- Release : 22 September 1979
- Publisher : American Mathematical Soc.
- ISBN : 9780821822159
- Genre : Mathematics
- Total Page : 80 pages
- Language : English
- PDF File Size : 7,7 Mb
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