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- W4367060805 abstract "We study the geometry of foliated non-Lorentzian spacetimes in terms of the Godbillon-Vey class of the foliation. We relate the intrinsic torsion of a foliated Aristotelian manifold to its Godbillon-Vey class, and interpret it as a measure of the local spin of the spatial leaves in the time direction. With this characterisation, the Godbillon-Vey class is an obstruction to integrability of the $mathsf{G}$-structure defining the Aristotelian spacetime. We use these notions to formulate a new geometric approach to hydrodynamics of fluid flows by endowing them with Aristotelian structures. We establish conditions under which the Godbillon-Vey class represents an obstruction to steady flow of the fluid and prove new conservation laws." @default.
- W4367060805 created "2023-04-27" @default.
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- W4367060805 date "2023-04-25" @default.
- W4367060805 modified "2023-09-23" @default.
- W4367060805 title "Godbillon-Vey Invariants of Non-Lorentzian Spacetimes and Aristotelian Hydrodynamics" @default.
- W4367060805 doi "https://doi.org/10.48550/arxiv.2304.12722" @default.
- W4367060805 hasPublicationYear "2023" @default.
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