Affiliation:
1. Department of Basic Sciences, Beijing International Studies University, Beijing 100024, P. R. China
Abstract
Abstract
We study the classification of closed, smooth, spin, 1-connected 7-manifolds whose integral cohomology ring is isomorphic to $H^*(\mathbb{C}P^2\times S^3)$. We also prove that if the integral cohomology ring of a closed, smooth, spin, 1-connected 7-manifold is isomorphic to $H^*(\mathbb{C}P^2\times S^3)$ or $H^*(S^2\times S^5)$, this 7-manifold admits a Riemannian metric with positive Ricci curvature.
Publisher
Oxford University Press (OUP)
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