On one connection between Lorentzian and Euclidean metrics
Iliev, Bozhidar Z.
arXiv, 9802057 / Harvested from arXiv
Text on arXiv
We investigate connections between pairs of (pseudo-)Riemannian metrics whose sum is a (tensor) product of a covector field with itself. A bijective mapping between the classes of Euclidean and Lorentzian metrics is constructed as a special result. The existence of such maps on a differentiable manifold is discussed. Similar relations for metrics of arbitrary signature on a manifold are considered. We point the possibility that any physical theory based on real Lorentzian metric(s) can be (re)formulated equivalently in terms of real Euclidean metric(s).
Publié le : 1998-02-22
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{9802057,
     author = {Iliev, Bozhidar Z.},
     title = {On one connection between Lorentzian and Euclidean metrics},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9802057}
}

Iliev, Bozhidar Z. On one connection between Lorentzian and Euclidean metrics. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9802057/