November 2011
Intermediate to advanced
528 pages
10h 30m
English
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Appendix D. Exceptional Orbits of Highest Dimension
Appendix D recalls notions and results from the theory of Lie groups (exceptional orbits of Lie groups acting on smooth manifolds) and the theory of cohomogeneity one Riemannian manifolds.
Keywords: Action; orbit; isotropy group; foliated action; locally free action; singular orbit; principal orbit; exceptional orbit; cohomogeneity one (Riemannian manifold); normal geodesic; principal curvature.
A smooth
action of a Lie group
G on a
n-dimensional
C∞ manifold
M is a
C∞ map
such that
and
for any ...
such that
and
for any ...Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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