On the boundedness of the sectional curvature of almost Hermitian manifolds

Details On the boundedness of the sectional curvature of almost Hermitian manifolds On the boundedness of the sectional curvature of almost Hermitian manifolds

2010-08-11

arxiv.org/abs/1008.1933v1

Proc. Fifteenth Conf. Union Bulg. Math., 1986, 179-185

Mathematics

Differential Geometry

MR 88g:53041, 7 pages

Scientific paper

We prove the following results: An almost Hermitian manifold of indefinite metric is of pointwise constant holomorphic sectional curvature if the holomorphic sectional curvature is bounded from above and from below. If the antiholomorphic sectional curvature is bounded either from above or from below, then the manifold is of pointwise constant antiholomorphic sectional curvature. Similar results are obtained for almost Hermitian manifolds of definite metric.

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