Homogeneous Manifolds with Negative Curvature Part II is popular PDF and ePub book, written by Robert Azencott in 1976, 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, Homogeneous Manifolds with Negative Curvature Part II can be Read Online from any device for your convenience.
Homogeneous Manifolds with Negative Curvature Part II Book PDF Summary
This paper is the second in a series dealing with the structure of the full isometry group I(M) for M a connected, simply connected, homogeneous, Riemannian manifold with non-positive sectional curvature. It is shown that every such manifold determines canonically a conjugacy class of subgroups of I(M) which act simply transitively on M. The class of all simply transitive subgroups of I(M) is identified and it is demonstrated that an arbitrary simply transitive subgroup may be modified slightly to produce a subgroup in the canonical class. The class of all connected Lie groups G for which there exists such a manifold M with G isomorphic to the identity connected component of I(M) is identified by means of a list of structural conditions on the Lie algebra of G. Given an arbitrary connected, simply connected Riemannian manifold M together with a given simply transitive group S of isometries, an algorithm is exhibited to explicitly compute the Lie algebra of I(M) from the transported Riemannian data on S.
Detail Book of Homogeneous Manifolds with Negative Curvature Part II PDF
- Author : Robert Azencott
- Release : 21 September 1976
- Publisher : American Mathematical Soc.
- ISBN : 9780821821787
- Genre : Mathematics
- Total Page : 110 pages
- Language : English
- PDF File Size : 9,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Homogeneous Manifolds with Negative Curvature Part II by Robert Azencott, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.