
The paper contains some new theorems and examples of constructions of invariant nonlinear differential operators on real \(n\)-spheres. The classical theory of H. Weyl is essentially and practically extended. The results concerning spheres are transferred to projective spaces.
homogeneous bundle, Differential geometry of homogeneous manifolds, Young symmetry, Differential invariants (local theory), geometric objects, Projective differential geometry, \(G\)-invariant differential operators, Weyl invariants
homogeneous bundle, Differential geometry of homogeneous manifolds, Young symmetry, Differential invariants (local theory), geometric objects, Projective differential geometry, \(G\)-invariant differential operators, Weyl invariants
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