Fernando Galaz-García

activity

20092026

most citedTorus orbifolds, slice-maximal torus actions and rational ellipticity

27 citations · 87 across the 21 of their papers we have counts for

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math.DG2026

Positive sectional curvature on exotic spheres in infinitely many dimensions

Fernando Galaz-García

We show that there exist exotic spheres with metrics of strictly positive sectional curvature in infinitely many dimensions: in every dimension $n \equiv 3 (mod 4)$ with $n \geq 11$ and…

math.DG2026

Positive sectional curvature on the exotic $8$ -sphere and order-three homotopy $10$ -spheres

Fernando Galaz-García

We prove that the exotic smooth $8$ -sphere and both oriented homotopy $10$ -spheres representing elements of order three admit Riemannian metrics with strictly positive sectional cu…

Positive sectional curvature on exotic spheres in infinitely many dimensions

Positive sectional curvature on the exotic 8-sphere and order-three homotopy 10-spheres

Positive sectional curvature on the exotic $8$ -sphere and order-three homotopy $10$ -spheres