How Long to Read Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

How Long Does it Take to Read Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture?

It takes the average reader 7 hours and 15 minutes to read Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture by Qi S. Zhang

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

Description

Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincaré Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The author explains key ideas, difficult proofs, and important applications in a succinct, accessible, and unified manner. The book first discusses Sobolev inequalities in various settings, including the Euclidean case, the Riemannian case, and the Ricci flow case. It then explores several applications and ramifications, such as heat kernel estimates, Perelman’s W entropies and Sobolev inequality with surgeries, and the proof of Hamilton’s little loop conjecture with surgeries. Using these tools, the author presents a unified approach to the Poincaré conjecture that clarifies and simplifies Perelman’s original proof. Since Perelman solved the Poincaré conjecture, the area of Ricci flow with surgery has attracted a great deal of attention in the mathematical research community. Along with coverage of Riemann manifolds, this book shows how to employ Sobolev imbedding and heat kernel estimates to examine Ricci flow with surgery.

How long is Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture?

Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture by Qi S. Zhang is 432 pages long, and a total of 108,864 words.

This makes it 146% the length of the average book. It also has 133% more words than the average book.

How Long Does it Take to Read Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 54 minutes to read Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture aloud.

What Reading Level is Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture?

Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture is suitable for students ages 12 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 Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture?

Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture by Qi S. Zhang is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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