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In: Advances in Calculus of Variations, 2017, vol. 10, no. 4, p. 407-421
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In: Mathematical Proceedings of the Cambridge Philosophical Society, 2020, vol. 169, no. 2, p. 357–376
We extend two known existence results to simply connected manifolds with positive sectional curvature: we show that there exist pairs of simply connected positively- curved manifolds that are tangentially homotopy equivalent but not homeomorphic, and we deduce that an open manifold may admit a pair of non-homeomorphic simply connected and positively-curved souls. Examples of such pairs are...
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