Geodesic
Compact Hermitian surfaces of pointwise constant holomorphic sectional curvature
Glasgow mathematical journal, Tome 37 (1995) no. 3, pp. 343-349

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

Let M = (M, J, g) be an almost Hermitian manifold and U(M)the unit tangent bundle of M. Then the holomorphic sectional curvature H = H(x) can be regarded as a differentiable function on U(M). If the function H is constant along each fibre, then M is called a space of pointwise constant holomorphic sectional curvature. Especially, if H is constant on the whole U(M), then M is called a space of constant holomorphic sectional curvature. An almost Hermitian manifold with an integrable almost complex structure is called a Hermitian manifold. A real 4-dimensional Hermitian manifold is called a Hermitian surface. Hermitian surfaces of pointwise constant holomorphic sectional curvature have been studied by several authors (cf. [2], [3], [5], [6] and so on). 
Sekigawa, Kouei; Koda, Takashi. Compact Hermitian surfaces of pointwise constant holomorphic sectional curvature. Glasgow mathematical journal, Tome 37 (1995) no. 3, pp. 343-349. doi: 10.1017/S0017089500031621
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