Sadahiro Maeda, Department of Mathematics, Shimane University, Matsue 690-8504, Japan; email: smaeda@riko.shimane-u.ac.jp

Abstract/Résumé:

Investigating geometric properties of characteristic vector fields on geodesic spheres in a complex space form, we characterize complex space forms in the class of Kähler manifolds.

En étudiant des propriétés géométriques de champs de vecteurs caractéristiques sur des sphères géodésiques dans un espace complexe à courbure constante, on caractérise ces espaces dans la classe des variétés kähleriennes.

Keywords: Geodesic spheres, Kahler manifolds, Killing vector fields, characteristic fields, complex space forms, totally geodesic complex curves

AMS Subject Classification: Local submanifolds 53B25

PDF(click to download): Characterization of complex space forms in terms of characteristic vector fields on geodesic spheres

T. Oguro

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords: Almost Kähler manifolds, Kahler manifolds, Symmetric spaces

AMS Subject Classification: Special Riemannian manifolds (Einstein; Sasakian; etc.), Symmetric spaces, Hermitian and K_õhlerian manifolds 53C25, 53C35, 53C55

PDF(click to download): Examples of non-Kähler, almost Kähler symmetric spaces