Geodesic
On Real Almost Hermitian Structures Subordinate to Almost Tangent Structures
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 115-133

Voir la notice de l'article provenant de la source Cambridge University Press

Some of the most important G-structures of the first kind (1) are those defined by linear operators satisfying algebraic relations. Let J be a linear operator acting on the complexified space of a differentiable manifold V, and satisfying a relation of the form where λ is a complex constant and I is the identity operator. In the case λ ≠ 0 the manifold has an almost product structure (2) which in the case λ = i reduces to an almost complex structure (3). In the remaining case, λ = 0, the manifold has an almost tangent structure (4). 
Closs, Mike P. On Real Almost Hermitian Structures Subordinate to Almost Tangent Structures. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 115-133. doi: 10.4153/CMB-1968-015-3
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