HIGHLIGHTS
- Who: Xiaoyang Chen from the (UNIVERSITY) have published the research work: Riemannian manifolds with entire Grauert tube are rationally elliptic, in the Journal: (JOURNAL)
SUMMARY
The following conjecture is a central problem in the study of Riemannian manifolds with nonnegative sectional curvature; see Berger and Bott and Grove and Halperin. Conjecture (Bott-Grove-Halperin) A compact simply connected Riemannian manifold M with nonnegative sectional curvature is rationally elliptic. If M is rationally elliptic, then there are severe topological restrictions of M. For example, M has nonnegative Euler characteristic number and dim H.M . . .
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