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math-ph2022★ 6 cited
Some useful operators on differential forms in Galilean and Carrollian spacetimes
Marián Fecko
Differential forms on Lorentzian spacetimes is a well-established subject. On Galilean and Carrollian spacetimes it does not seem to be quite so. This may be due to the absence of…
math-ph2022★ 2 cited
Galilean and Carrollian Hodge star operators
Marián Fecko
The standard Hodge star operator is naturally associated with metric tensor (and orientation). It is routinely used to concisely write down physics equations on, say, Lorentzian sp…
math.HO2022
Vector calculus in two-dimensional space
Marián Fecko
Vector calculus in three-dimensional space is ubiquitous in applications of mathematics in physics and engineering. Its two-dimensional version is, however, quite rare. Here we try…