Jiaogen Zhang

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math.DG2025

Fully nonlinear prescribed curvature problems on closed manifolds with negative curvature

Jiaogen Zhang

In this manuscript, we investigate fully nonlinear prescribed curvature problems for the modified Schouten tensor on closed Riemannian manifolds with negative curvature. We prove t…

math.DG2025

Garding cones and positivity of curvature operators

Teng Huang, Jiaogen Zhang

This article explores the relationship between Garding cones, demonstrating that the shift cone $Γ_{2}^{+} (α)$ is contained in $P_{m}$ . By combining t…