Geodesic
On a Structure Defined by a Tensor Field F of Type (1, 1) Satisfying F 2 = 0
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 447-449

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

Professor Eliopoulous studied almost tangent structure on manifolds M 2n in [1], [2], [3]. An almost tangent structure F is a field of class C∞ of linear operations on M2n such that at each point x in M 2n , F x maps the complexified tangent space into itself and that F x is of rank n everywhere and satisfies F 2=0. 
Houh, C. S. On a Structure Defined by a Tensor Field F of Type (1, 1) Satisfying F 2 = 0. Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 447-449. doi: 10.4153/CMB-1973-073-4
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[1] 1. Eliopoulos, H. A., Structures presque tangentes sur les variétés differentiates, C. R. Acad. Se. Paris, 255 (1962), 1563–1565. Google Scholar

[2] 2. Eliopoulos, H. A., Euclidean structures compatible with almost tangent structures, Acad. Roy. Belg. Bull. Cl. Sci. (5) 50 (1964), 1174–1182. Google Scholar

[3] 3. Eliopoulos, H. A., On the general theory of differentiable manifolds with almost tangent structure, Canad. Math. Bull. 8 (1965), 721–748. Google Scholar

[4] 4. Houh, C. S., On a Riemannian manifold M with an almost tangent structure, Canad. Math. Bull. 12 (1969), 759–769. Google Scholar

[5] 5. Wakakuwa, H. and Hashimoto, S., Remark on almost tangent structure. Tensor, 20 (1969), 270–272. Google Scholar

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