Ethan X. Fang

activity

20142026

most citedAccelerating Stochastic Composition Optimization

24 citations · 96 across the 31 of their papers we have counts for

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3 papers · 1 filter

math.DG2026

A Two-Stage Construction of Positive Curvature on the Gromoll-Meyer Sphere

Shengtao Guo, Ethan X. Fang, Junwei Lu

We construct an explicit one-parameter family of smooth metrics on the Gromoll-Meyer exotic seven-sphere, converging in $C^{\infty}$ to a fixed further Cheeger deformation of the Esc…

math.DG2026

A Metric with Positive Sectional Curvature on $S^{3} \times S^{3}$

Shengtao Guo, Ethan X. Fang, Junwei Lu

We construct a smooth Riemannian metric with strictly positive sectional curvature on $S^3\times S^3$. Since $S^3\times S^3$ is even-dimensional and has Euler characteristic ze…

math.DG2026

A Metric with Positive Sectional Curvature on $S^{2} \times S^{3}$

Shengtao Guo, Ethan X. Fang, Junwei Lu

We prove that $S^{2} \times S^{3}$ admits a Riemannian metric with positive sectional curvature. We view it as a principal circle bundle over $S^{2} \times S^{2}$ . A diagonal Cheeger deforma…

A Two-Stage Construction of Positive Curvature on the Gromoll-Meyer Sphere

A Metric with Positive Sectional Curvature on S3×S3

A Metric with Positive Sectional Curvature on S2×S3

A Metric with Positive Sectional Curvature on $S^{3} \times S^{3}$

A Metric with Positive Sectional Curvature on $S^{2} \times S^{3}$