Geodesic
Topology of Some Kähler Manifolds II
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 457-460

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

Topology of positively curved compact Kähler manifolds had been studied by several authors (cf. [6; 2]); these manifolds are simply connected and their second Betti number is one [1]. We will restrict ourselves to the study of some compact homogeneous Kähler manifolds. The aim of this paper is to supplement some results in [9]. We prove, among other results, that a compact, simply connected homogeneous complex manifold whose Euler number is a prime p ≥ 2 is isomorphic to the complex projective space Pp-1 (C); in the p-1 case of surfaces, we prove that a compact, simply connected, homogeneous almost complex surface with Euler-Poincaré characteristic positive, is hermitian symmetric. 
Srinivasacharyulu, K. Topology of Some Kähler Manifolds II. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 457-460. doi: 10.4153/CMB-1969-056-1
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