Two-step sub-Lorentzian structures and graph surfaces
Izvestiya. Mathematics , Tome 84 (2020) no. 1, pp. 52-94
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We establish an area formula for graph mappings on two-step sub-Lorentzian structures with an arbitrary number of spatial and temporal directions. In a particular case, we consider an alternative approach that requires no additional smoothness of the mapping from which the graph is constructed.
Keywords:
multi-dimensional sub-Lorentzian structure, Lipschitz mapping, intrinsic basis, intrinsic measure, area formula.
@article{IM2_2020_84_1_a3,
author = {M. B. Karmanova},
title = {Two-step {sub-Lorentzian} structures and graph surfaces},
journal = {Izvestiya. Mathematics },
pages = {52--94},
publisher = {mathdoc},
volume = {84},
number = {1},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2020_84_1_a3/}
}
M. B. Karmanova. Two-step sub-Lorentzian structures and graph surfaces. Izvestiya. Mathematics , Tome 84 (2020) no. 1, pp. 52-94. http://geodesic.mathdoc.fr/item/IM2_2020_84_1_a3/