How Long to Read Homogeneous Manifolds with Negative Curvature, Part II

How Long Does it Take to Read Homogeneous Manifolds with Negative Curvature, Part II?

It takes the average reader 1 hour and 42 minutes to read Homogeneous Manifolds with Negative Curvature, Part II by Robert Azencott

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Homogeneous Manifolds with Negative Curvature, Part II?

Homogeneous Manifolds with Negative Curvature, Part II by Robert Azencott is 102 pages long, and a total of 25,704 words.

This makes it 34% the length of the average book. It also has 31% more words than the average book.

How Long Does it Take to Read Homogeneous Manifolds with Negative Curvature, Part II Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 20 minutes to read Homogeneous Manifolds with Negative Curvature, Part II aloud.

What Reading Level is Homogeneous Manifolds with Negative Curvature, Part II?

Homogeneous Manifolds with Negative Curvature, Part II is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Homogeneous Manifolds with Negative Curvature, Part II?

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