On sufficiently connected manifolds which are homotopy equivalent
The paper under review is concerned with the problem whether two \((p,q)\)-primary manifolds which are (tangentially) homotopy equivalent are homeomorphic or not in the metastable range \(2p>q>1\). Let us recall that \(M\) is called \((p,q)\)-primary if it is a simply connected smooth \(m\)-manifold satisfying the following conditions: (1) \(H_i(M)=0\) except for \(i=0,p,q\), \(m=p+q\) \((0<p<q)\), and (2) the tangent bundle of \(M\) is trivial on its \(p\)-skeleton [\textit{H. Ishimoto}, Q. J. Math., Oxf. II. Ser. 46, No. 184, 453-469 (1995; Zbl 0860.55010)].
scientific article; zbMATH DE number 1319572