
The main results of the author's Ph. D. thesis [University of Notre Dame (1995)] are announced: an improvement of a surgery theorem for positive Ricci curvature originally given by \textit{J.-P. Sha} and \textit{D.-G. Yang} [J. Differ. Geom. 33, No. 1, 127-137 (1991; Zbl 0728.53027)], which enables the author to prove further that homotopy spheres which bound parallelizable manifolds admit metrics of positive curvature.
surgery, positive Ricci curvature, 500, homotopy spheres, Global Riemannian geometry, including pinching, 510, parallelizable manifolds
surgery, positive Ricci curvature, 500, homotopy spheres, Global Riemannian geometry, including pinching, 510, parallelizable manifolds
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