By Lupo D., Payne K.R.
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Extra resources for Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types
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Mixed signature metrics have received some attention in the context of quantum cosmology, beginning with the Hawking-Hartle no boundary hypothesis which if true implies that space-time evolved from a Riemannian past into a Lorentzian present, as well as models for tunnelling effects in quantum gravity (cf. Chapters 3 and 5 of ). 5 are strongly related to the conformal transformations with respect to the underlying geometric structure given above. 4). 21). 12) of the appendix. 5 will show that this part of the system is finite dimensional and spanned by the translations, dilations, and inversions above.
Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types by Lupo D., Payne K.R.