Samuel Zeitler

collaborators

2 papers

math.DG2026

Positivity and non-positivity results for the sixth-order $Q$ -curvature of conformal metrics in $R^{n}$

Jérôme Vétois, Samuel Zeitler

Given $n, m \in N$ such that $n \geq 2 m \geq 4$ , letting $g$ be a conformally Euclidean metric on $R^{n}$ , we consider the question of positivity of the lower-order $Q$ -curv…

math.AP2024

A Sharp Higher Order Sobolev Inequality on Riemannian Manifolds

Samuel Zeitler

Let $m, n$ be integers such that $\frac{n}{2} > m \geq 1$ and let $(M, g)$ be a closed $n -$ dimensional Riemannian manifold. We prove there exists some $B \in R$ d…

Positivity and non-positivity results for the sixth-order Q-curvature of conformal metrics in Rn

A Sharp Higher Order Sobolev Inequality on Riemannian Manifolds

Positivity and non-positivity results for the sixth-order $Q$ -curvature of conformal metrics in $R^{n}$