A sharp Sobolev interpolation inequality on Finsler manifolds

DOI10.1007/s12220-014-9510-5zbMath1335.53100OpenAlexW2082079368WikidataQ126114046 ScholiaQ126114046MaRDI QIDQ253784

Alexandru Kristály

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-014-9510-5

zbMATH Keywords

Ricci curvaturerigidityMinkowski spaceFinsler manifoldsharp constantSobolev interpolation inequality

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (3)

Second-order Sobolev inequalities on a class of Riemannian manifolds with nonnegative Ricci curvature ⋮ Sharp uncertainty principles on general Finsler manifolds ⋮ Equality in Borell-Brascamp-Lieb inequalities on curved spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications
• Volume comparison and its applications in Riemann-Finsler geometry
• Hardy inequalities on non-compact Riemannian manifolds
• The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds
• Anisotropic symmetrization
• Heat flow on Finsler manifolds
• Improved Hardy and Rellich inequalities on Riemannian manifolds
• Sobolev Spaces

This page was built for publication: A sharp Sobolev interpolation inequality on Finsler manifolds