Leibnizian, Galilean and Newtonian structures of space–time
نویسندگان
چکیده
منابع مشابه
Leibnizian, Galilean and Newtonian structures of spacetime
The following three geometrical structures on a manifold are studied in detail: Leibnizian: a non-vanishing 1-form Ω plus a Riemannian metric 〈·, ·〉 on its annhilator vector bundle. In particular, the possible dimensions of the automorphism group of a Leibnizian G-structure are characterized. Galilean: Leibnizian structure endowed with an affine connection ∇ (gauge field) which parallelizes Ω a...
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The following three geometrical structures on a manifold are studied in detail: Leibnizian: a nonvanishing one-form V plus a Riemannian metric ^•,•& on its annhilator vector bundle. In particular, the possible dimensions of the automorphism group of a Leibnizian G-structure are characterized. Galilean: Leibnizian structure endowed with an affine connection 1 ~gauge field! which parallelizes V a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1541120