Abstract
In a certain sense a perfect fluid is a generalization of a point particle. This leads to the question as to what is the corresponding generalization for extended objects. Here the lagrangian formulation of a perfect fluid is much generalized by replacing the product of the co-moving vector which is a first fundamental form by higher dimensional first fundamental forms; this has as a particular example a fluid which is a classical generalization of a membrane; however there is as yet no indication of any relationship between their quantum theories.
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Roberts, M.D. A fluid generalization of membranes. centr.eur.j.phys. 9, 1016–1021 (2011). https://doi.org/10.2478/s11534-011-0031-6
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DOI: https://doi.org/10.2478/s11534-011-0031-6