Yamabe spectra

DOI10.1215/S0012-7094-97-08905-5zbMath0904.53031arXivdg-ga/9411002OpenAlexW3037947436WikidataQ125299398 ScholiaQ125299398MaRDI QIDQ1365162

Alexander G. Reznikov

Publication date: 21 January 1999

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9411002

zbMATH Keywords

isometric immersionThurston normnegative Yamabe invariantsYamabe spectrum

Mathematics Subject Classification ID

Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Immersions in differential topology (57R42)

Related Items

On 2-systoles of hyperbolic 3-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic equations in groups from the global geometry viewpoint
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Harmonic maps, hyperbolic cohomology and higher Milnor inequalities
• The volume and the injectivity radius of a hyperbolic manifold
• Minimal Immersions of Closed Riemann Surfaces
• The Yamabe problem
• Partial Differential Relations
• HARMONIC MAPS, SECOND HOMOLOGY CLASSES OF SMOOTH MANIFOLDS, AND BOUNDED COHOMOLOGY