How Long to Read Geometric Theory of Foliations

How Long Does it Take to Read Geometric Theory of Foliations?

It takes the average reader 3 hours and 27 minutes to read Geometric Theory of Foliations by César Camacho

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

Description

Intuitively, a foliation corresponds to a decomposition of a manifold into a union of connected, disjoint submanifolds of the same dimension, called leaves, which pile up locally like pages of a book. The theory of foliations, as it is known, began with the work of C. Ehresmann and G. Reeb, in the 1940's; however, as Reeb has himself observed, already in the last century P. Painleve saw the necessity of creating a geometric theory (of foliations) in order to better understand the problems in the study of solutions of holomorphic differential equations in the complex field. The development of the theory of foliations was however provoked by the following question about the topology of manifolds proposed by H. Hopf in the 3 1930's: "Does there exist on the Euclidean sphere S a completely integrable vector field, that is, a field X such that X· curl X • 0?" By Frobenius' theorem, this question is equivalent to the following: "Does there exist on the 3 sphere S a two-dimensional foliation?" This question was answered affirmatively by Reeb in his thesis, where he 3 presents an example of a foliation of S with the following characteristics: There exists one compact leaf homeomorphic to the two-dimensional torus, while the other leaves are homeomorphic to two-dimensional planes which accu mulate asymptotically on the compact leaf. Further, the foliation is C"".

How long is Geometric Theory of Foliations?

Geometric Theory of Foliations by César Camacho is 204 pages long, and a total of 51,816 words.

This makes it 69% the length of the average book. It also has 63% more words than the average book.

How Long Does it Take to Read Geometric Theory of Foliations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 43 minutes to read Geometric Theory of Foliations aloud.

What Reading Level is Geometric Theory of Foliations?

Geometric Theory of Foliations 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 Geometric Theory of Foliations?

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