On the axiom of planes and the axiom of spheres in the almost Hermitian geometry

Details On the axiom of planes and the axiom of spheres in the almost Hermitian geometry On the axiom of planes and the axiom of spheres in the almost Hermitian geometry

2010-04-21

arxiv.org/abs/1004.3634v1

SERDICA Bulgaricae mathematicae publicationes. Vol. 8, 1982, p. 109-114

Mathematics

Differential Geometry

MR 84b:53057; 6 pages

Scientific paper

Criterions for constancy of the holomorphic sectional curvature and the
antiholomorphic sectional curvature are proved for almost Hermitian manifolds.
It is shown, that an almost Hermitian manifold satisfying the axiom of
antiholomorphic planes or the axiom of antiholomorphic spheres is a real or a
complex space form.

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