Relations between threshold constants for Yamabe type bordism invariants

DOI10.1007/s12220-015-9651-1zbMath1360.53039arXiv1502.05232OpenAlexW137174861MaRDI QIDQ345294

Bernd Ammann, Nadine Große

Publication date: 1 December 2016

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

Full work available at URL: https://arxiv.org/abs/1502.05232

zbMATH Keywords

Dirac operatorYamabe invariantconformal Hijazi inequalityYamabe constant

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Spin and Spin({}^c) geometry (53C27) Surgery and handlebodies (57R65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces ⋮ \(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces ⋮ Positive mass theorem for some asymptotically hyperbolic manifolds

Cites Work

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• \(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces
• The Yamabe constant on noncompact manifolds
• Positive mass theorem for some asymptotically hyperbolic manifolds
• The Hijazi inequality on conformally parabolic manifolds
• A spinorial analogue of Aubin's inequality
• The Yamabe problem with singularities
• Surgery and harmonic spinors
• Notes on Perelman's papers
• The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Scalar curvature of a metric with unit volume
• Spin and scalar curvature in the presence of a fundamental group. I
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Yamabe invariants and \(\text{spin}^c\) structures
• Kodaira dimension and the Yamabe problem
• A spin-conformal lower bound of the first positive Dirac eigenvalue
• Refined Kato inequalities and conformal weights in Riemannian geometry
• Elliptic partial differential equations of second order
• Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\)
• Smooth Yamabe invariant and surgery
• Low-dimensional surgery and the Yamabe invariant
• Simply connected manifolds of positive scalar curvature
• Canonical metrics on 3-manifolds and 4-manifolds
• Square-integrability of solutions of the Yamabe equation
• The Yamabe equation on manifolds of bounded geometry
• The first conformal Dirac eigenvalue on 2-dimensional tori
• The spinorial τ-invariant and 0-dimensional surgery
• Surgery and the Spinorial τ-Invariant
• The Yamabe problem
• Twisted spin cobordism and positive scalar curvature
• Solutions of the Equation of a Spinorial Yamabe-type Problem on Manifolds of Bounded Geometry

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