Gromov Cauchy and Causal Boundaries for Riemannian Finslerian and Lorentzian Manifolds is popular PDF and ePub book, written by Jose Luis Flores in 2013-10-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Gromov Cauchy and Causal Boundaries for Riemannian Finslerian and Lorentzian Manifolds can be Read Online from any device for your convenience.
Gromov Cauchy and Causal Boundaries for Riemannian Finslerian and Lorentzian Manifolds Book PDF Summary
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.
Detail Book of Gromov Cauchy and Causal Boundaries for Riemannian Finslerian and Lorentzian Manifolds PDF
- Author : Jose Luis Flores
- Release : 23 October 2013
- Publisher : American Mathematical Soc.
- ISBN : 9780821887752
- Genre : Mathematics
- Total Page : 76 pages
- Language : English
- PDF File Size : 15,6 Mb
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