Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Observer-invariant time derivatives on moving surfaces   Observer-invariance is regarded as a minimum requirement for an appropriate
definition and derived systematically from a spacetime setting, where
observer-invariance is a special case of a covariance principle and covered by
Ricci-calculus. The analysis is considered for tangential n-tensor fields on
moving surfaces and provides formulations which are applicable for
computations. For various special cases, e.g., vector fields (n = 1) and
symmetric and trace-less tensor fields (n = 2) we compare material and
convected derivatives and demonstrate the different underlying physics.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics