How Long to Read Nonpositive Curvature: Geometric and Analytic Aspects

How Long Does it Take to Read Nonpositive Curvature: Geometric and Analytic Aspects?

It takes the average reader 2 hours and 5 minutes to read Nonpositive Curvature: Geometric and Analytic Aspects by Jürgen Jost

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

Description

The present book contains the lecture notes from a "Nachdiplomvorlesung", a topics course adressed to Ph. D. students, at the ETH ZUrich during the winter term 95/96. Consequently, these notes are arranged according to the requirements of organizing the material for oral exposition, and the level of difficulty and the exposition were adjusted to the audience in Zurich. The aim of the course was to introduce some geometric and analytic concepts that have been found useful in advancing our understanding of spaces of nonpos itive curvature. In particular in recent years, it has been realized that often it is useful for a systematic understanding not to restrict the attention to Riemannian manifolds only, but to consider more general classes of metric spaces of generalized nonpositive curvature. The basic idea is to isolate a property that on one hand can be formulated solely in terms of the distance function and on the other hand is characteristic of nonpositive sectional curvature on a Riemannian manifold, and then to take this property as an axiom for defining a metric space of nonposi tive curvature. Such constructions have been put forward by Wald, Alexandrov, Busemann, and others, and they will be systematically explored in Chapter 2. Our focus and treatment will often be different from the existing literature. In the first Chapter, we consider several classes of examples of Riemannian manifolds of nonpositive curvature, and we explain how conditions about nonpos itivity or negativity of curvature can be exploited in various geometric contexts.

How long is Nonpositive Curvature: Geometric and Analytic Aspects?

Nonpositive Curvature: Geometric and Analytic Aspects by Jürgen Jost is 124 pages long, and a total of 31,496 words.

This makes it 42% the length of the average book. It also has 38% more words than the average book.

How Long Does it Take to Read Nonpositive Curvature: Geometric and Analytic Aspects Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 52 minutes to read Nonpositive Curvature: Geometric and Analytic Aspects aloud.

What Reading Level is Nonpositive Curvature: Geometric and Analytic Aspects?

Nonpositive Curvature: Geometric and Analytic Aspects 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.

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