
In this paper we describe the algebra of differential invariants for GL(n,C)-structures. This leads to classification of almost complex structures of general positions. The invariants are applied to the existence problem of higher-dimensional pseudoholomorphic submanifolds.
Mathematics - Differential Geometry, 32Q60, 53C15, Almost complex structure, equivalence, 32Q60, 53C15; 53A55, VDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415, 53A55, Differential Geometry (math.DG), pseudoholomorphic submanifold, FOS: Mathematics, Ni-jenhuis tensor, differential invariant
Mathematics - Differential Geometry, 32Q60, 53C15, Almost complex structure, equivalence, 32Q60, 53C15; 53A55, VDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415, 53A55, Differential Geometry (math.DG), pseudoholomorphic submanifold, FOS: Mathematics, Ni-jenhuis tensor, differential invariant
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