Yuchi Wu

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math.MG2026

The Minkowski problem of $p$ -affine dual curvature measures

Youjiang Lin, Yuchi Wu

For $p \in (- \infty, 0) \cup (0, 1)$ and a convex body $K \subset R^{n}$ with the origin in its interior, we construct the family of $p$ -affine dual curvature measures $\mathcal{I}…

math.MG2026

The $L_{p}$ Minkowski problems on affine dual quermassintegrals

Youjiang Lin, Yuchi Wu

In this paper, {we extend the affine dual curvature measures to the $L_{p}$ setting and solve the existence part of the corresponding Minkowski problem for non-symmetric discrete mea…

math.MG2024

Petty projection inequality on the sphere and on the hyperbolic space

Y. Lin, Y. Wu

Using gnomonic projection and PoincarÃ© model, we first define the spherical projection body and hyperbolic projection body in spherical space $S^{n}$ and hyperbolic space $…

The Minkowski problem of p-affine dual curvature measures

The Lp​ Minkowski problems on affine dual quermassintegrals

Petty projection inequality on the sphere and on the hyperbolic space

The Minkowski problem of $p$ -affine dual curvature measures

The $L_{p}$ Minkowski problems on affine dual quermassintegrals