How Long to Read Curvature: A Variational Approach

How Long Does it Take to Read Curvature: A Variational Approach?

It takes the average reader 2 hours and 23 minutes to read Curvature: A Variational Approach by A. Agrachev

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

Description

The curvature discussed in this paper is a far reaching generalization of the Riemannian sectional curvature. The authors give a unified definition of curvature which applies to a wide class of geometric structures whose geodesics arise from optimal control problems, including Riemannian, sub-Riemannian, Finsler and sub-Finsler spaces. Special attention is paid to the sub-Riemannian (or Carnot–Carathéodory) metric spaces. The authors' construction of curvature is direct and naive, and similar to the original approach of Riemann. In particular, they extract geometric invariants from the asymptotics of the cost of optimal control problems. Surprisingly, it works in a very general setting and, in particular, for all sub-Riemannian spaces.

How long is Curvature: A Variational Approach?

Curvature: A Variational Approach by A. Agrachev is 142 pages long, and a total of 35,784 words.

This makes it 48% the length of the average book. It also has 44% more words than the average book.

How Long Does it Take to Read Curvature: A Variational Approach Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 15 minutes to read Curvature: A Variational Approach aloud.

What Reading Level is Curvature: A Variational Approach?

Curvature: A Variational Approach 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 Curvature: A Variational Approach?

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