How Long to Read Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds

How Long Does it Take to Read Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds?

It takes the average reader 1 hour and 17 minutes to read Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds by Jose Luis Flores

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

Description

Recently, the old notion of causal boundary for a spacetime $V$ has been redefined consistently. The computation of this boundary $\partial V$ on any standard conformally stationary spacetime $V=\mathbb{R}\times M$, suggests a natural compactification $M_B$ associated to any Riemannian metric on $M$ or, more generally, to any Finslerian one. The corresponding boundary $\partial_BM$ is constructed in terms of Busemann-type functions. Roughly, $\partial_BM$ represents the set of all the directions in $M$ including both, asymptotic and ``finite'' (or ``incomplete'') directions. This Busemann boundary $\partial_BM$ is related to two classical boundaries: the Cauchy boundary $\partial_{C}M$ and the Gromov boundary $\partial_GM$. The authors' aims are: (1) to study the subtleties of both, the Cauchy boundary for any generalized (possibly non-symmetric) distance and the Gromov compactification for any (possibly incomplete) Finsler manifold, (2) to introduce the new Busemann compactification $M_B$, relating it with the previous two completions, and (3) to give a full description of the causal boundary $\partial V$ of any standard conformally stationary spacetime.

How long is Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds?

Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds by Jose Luis Flores is 76 pages long, and a total of 19,456 words.

This makes it 26% the length of the average book. It also has 24% more words than the average book.

How Long Does it Take to Read Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 46 minutes to read Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds aloud.

What Reading Level is Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds?

Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds is suitable for students ages 8 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 Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds?

Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds by Jose Luis Flores 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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