On the second cohomology group of a pinched Riemannian manifold
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Let M be a compact orientable Riemannian manifold of dimension even. We assume that the manifold can carry a metric, which is positively k-pinked. In the present paper some properties of the second cohomology group of such a manifold are obtained, when the number k is greater than a number which depends on the dimension of the manifold. These properties have some applications on the topological product of some special manifolds.
KeywordsRiemannian Manifold Cohomology Group Topological Product Orientable Riemannian Manifold Compact Orientable Riemannian Manifold
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