- Mathematical Sciences and Applications E-Notes
- Volume:1 Issue:2
- CARTAN-TYPE CRITERIONS FOR CONSTANCY OF ALMOST HERMITIAN MANIFOLDS
CARTAN-TYPE CRITERIONS FOR CONSTANCY OF ALMOST HERMITIAN MANIFOLDS
Authors : Hakan Mete TAŞTAN
Pages : 11-19
View : 48 | Download : 7
Publication Date : 2013-12-01
Article Type : Research Paper
Abstract :We studied the axiom of anti-invariant 2-spheres and the axiom ofco-holomorphic insert ignore into journalissuearticles values(2n + 1);-spheres. We proved that a nearly K¨ahlerian manifoldsatisfying the axiom of anti-invariant 2-spheres is a space of constant holomorphic sectional curvature. We also showed that an almost Hermitian manifoldM of dimension 2m ≥ 6 satisfying the axiom of co-holomorphic insert ignore into journalissuearticles values(2n+1);-spheresfor some n, where insert ignore into journalissuearticles values(1 ≤ n ≤ m − 1);, the manifold M has pointwise constanttype α if and only if M has pointwise constant anti-holomorphic sectionalcurvature αKeywords : Almost Hermitian manifold, Sectional curvature, Holomorphic sectional curvature, Constant type, Axiom of spheres
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