Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255305 | Journal of Geometry and Physics | 2018 | 4 Pages |
Abstract
If M admits a Riemann metric g¯, a point x
and a number â>0 such that all unit speed geodesics starting from x return back to x in time â, then (M,g¯) is called a Yâx manifold. Jointly with Stefan Nemirovski we observed that causality in (MÃR,g¯âât2) is not equivalent to Legendrian linking. Every Yâx-Riemann manifold has compact universal cover and its integral cohomology ring is the one of a CROSS. So we conjecture that Legendrian linking is equivalent to causality if and only if one can not put a Yâx Riemann metric on a Cauchy surface M.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Vladimir Chernov,