Cover Image

The sharp $σ_2$-curvature inequality on the sphere in quantitative form

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Frank, Rupert L., Peteranderl, Jonas W.
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Differential Geometry Functional Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An almost-almost-Schur lemma on the 3-sphere
by: König, Tobias, et al.
Published: (2025)

Sharp quantitative integral inequalities for harmonic extensions
by: Frank, Rupert L., et al.
Published: (2025)

Quantitative Lorentzian isoperimetric inequalities
by: Lange, Christian, et al.
Published: (2025)

Isoperimetric and geometric inequalities in quantitative form: Stein's method approach
by: Serres, Jordan
Published: (2024)

Degenerate Stability of the Caffarelli-Kohn-Nirenberg Inequality along the Felli-Schneider Curve
by: Frank, Rupert L., et al.
Published: (2023)

Contractive transport maps from $\mathbb{S}^2$ to nearly spherical surfaces with positive Ricci curvature
by: Serres, Jordan
Published: (2025)

A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities
by: Kajántó, Sándor, et al.
Published: (2023)

Quantitative stability of Sobolev inequalities on compact Riemannian manifolds
by: Nobili, Francesco, et al.
Published: (2024)

The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: a Green function approach
by: Grillo, Gabriele, et al.
Published: (2024)

On operator fields in the upper triangular Toeplitz form
by: Chernin, M. M., et al.
Published: (2025)

Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds
by: Kajántó, Sándor
Published: (2025)

Sharp Sobolev inequalities on noncompact Riemannian manifolds with ${\sf Ric}\geq 0$ via Optimal Transport theory
by: Kristály, Alexandru
Published: (2023)

A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D
by: Julin, Vesa, et al.
Published: (2024)

The $σ_{2}$-curvature equation on a compact manifold with boundary
by: Chen, Xuezhang, et al.
Published: (2023)

Generalized existence of extremizers for the sharp $p$-Sobolev inequality on Riemannian manifolds with nonnegative curvature
by: Nobili, Francesco, et al.
Published: (2025)

Estimates for modified $σ_{2}$ curvature equation on compact manifolds with boundary
by: Chen, Xuezhang, et al.
Published: (2024)

Fractal curvatures and short-time asymptotics of heat content
by: Rozanova-Pierrat, Anna, et al.
Published: (2025)

Conformal metrics of the ball with constant $σ_k$-curvature and constant boundary mean curvature
by: Chen, Xuezhang, et al.
Published: (2025)

Lojasiewicz inequalities for maps of the 2-sphere
by: Waldron, Alex
Published: (2023)

The sharp log Sobolev inequality on finite cycles
by: Frank, Rupert L., et al.
Published: (2026)

On the classification of ancient solutions to curvature flows on the sphere
by: Bryan, Paul, et al.
Published: (2016)

Lattice tilings with minimal perimeter and unequal volumes
by: Nobili, Francesco, et al.
Published: (2024)

Curve shortening flow on Riemann surfaces with conical singularities
by: Roidos, Nikolaos, et al.
Published: (2020)

A wedge product theorem of compensated compactness theory with critical exponents on Riemannian manifolds
by: Bai, Xiaojin, et al.
Published: (2023)

On paracomposition and change of variables in Paradifferential operators
by: Said, Ayman Rimah
Published: (2020)

A compensated compactness theorem for pseudodifferential operators on vector bundles
by: Li, Siran, et al.
Published: (2026)

$W^{s,\frac{n}{s}}$-maps with positive distributional Jacobians
by: Li, Siran, et al.
Published: (2019)

Sharp spectral gap estimates for higher-order operators on Cartan-Hadamard manifolds
by: Farkas, Csaba, et al.
Published: (2023)

A variational method for functionals depending on eigenvalues
by: Petrides, Romain
Published: (2022)

Optimal quantitative stability of the Möbius group of the sphere in all dimensions
by: Guerra, André, et al.
Published: (2024)

Logarithmic-Sobolev inequalities on non-compact Euclidean submanifolds: sharpness and rigidity
by: Balogh, Zoltán M., et al.
Published: (2024)

A sharp Sobolev trace inequality of order four on three-balls
by: Chen, Xuezhang, et al.
Published: (2024)

Locally constrained flows and geometric inequalities in sphere
by: Ding, Shanwei, et al.
Published: (2024)

The quermassintegral inequalities for horo-convex domains in the sphere
by: Pan, Shujing, et al.
Published: (2025)

Alexandrov-Fenchel type inequalities for hypersurfaces in the sphere
by: Chen, Min
Published: (2025)

Calibrations for the Sasaki volume on odd spheres and the no-gap problem
by: Matuzas, Jonas
Published: (2026)

ABP estimate on metric measure spaces via optimal transport
by: Han, Bang-Xian
Published: (2024)

Hardy type inequalities on manifolds with nonnegative Ricci curvature
by: Dong, Yuxin, et al.
Published: (2024)

A Generalization of Caffarelli's Contraction Theorem to Nearly Spherical Manifolds
by: Ge, Yuxin, et al.
Published: (2025)

Gradient and Transport Estimates for Heat Flow on Nonconvex Domains
by: Sturm, Karl-Theodor
Published: (2025)