Spaces on and beyond the boundary of existence
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Publication:1904562
DOI10.1007/BF02921805zbMath0839.53032OpenAlexW2064625157MaRDI QIDQ1904562
Peter V Petersen, Shun-Hui Zhu, Frederick H. jun. Wilhelm
Publication date: 18 June 1996
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02921805
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Cites Work
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- Generalized Poincaré's conjecture in dimensions greater than four
- The topology of four-dimensional manifolds
- Manifolds near the boundary of existence
- Collapsing Riemannian manifolds while keeping their curvature bounded. I
- A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Collapsing and pinching under a lower curvature bound
- A generalized sphere theorem
- Geometric finiteness theorems via controlled topology
- The fundamental equations of a submersion
- An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
- An excess sphere theorem
- Higher Torsion in H-Spaces
- A Pinching Theorem for Homotopy Spheres