How Long to Read The Ambient Metric (AM-178)

How Long Does it Take to Read The Ambient Metric (AM-178)?

It takes the average reader 2 hours and 7 minutes to read The Ambient Metric (AM-178) by Charles Fefferman

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

Description

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory.

How long is The Ambient Metric (AM-178)?

The Ambient Metric (AM-178) by Charles Fefferman is 125 pages long, and a total of 31,875 words.

This makes it 42% the length of the average book. It also has 39% more words than the average book.

How Long Does it Take to Read The Ambient Metric (AM-178) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 54 minutes to read The Ambient Metric (AM-178) aloud.

What Reading Level is The Ambient Metric (AM-178)?

The Ambient Metric (AM-178) 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 The Ambient Metric (AM-178)?

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