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

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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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     author = {Srinivasacharyulu, K.},
     title = {Topology of {Some} {K\"ahler} {Manifolds} {II}},
     journal = {Canadian mathematical bulletin},
     pages = {457--460},
     year = {1969},
     volume = {12},
     number = {4},
     doi = {10.4153/CMB-1969-056-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-056-1/}
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