S. Brendle

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20082026

most citedEinstein manifolds with nonnegative isotropic curvature are locally symmetric

77 citations · 178 across the 21 of their papers we have counts for

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math.DG2026

A metric on $S^{2} \times S^{2}$ with positive sectional curvature

S. Brendle, P. K. Hung

We construct a metric on $S^{2} \times S^{2}$ with positive sectional curvature. Starting from the standard metric on $S^{2} \times S^{2}$ , we first perform a Cheeger deformation. The resu…

math.DG2026

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique

S. Brendle

In this expository paper, we discuss a unified framework for proving various geometric inequalities, based on the so-called Alexandrov-Bakelman-Pucci technique. Examples include Ca…

A metric on S2×S2 with positive sectional curvature

Geometric inequalities and the Alexandrov-Bakelman-Pucci technique

A metric on $S^{2} \times S^{2}$ with positive sectional curvature