Solutions of the Equation of a Spinorial Yamabe-type Problem on Manifolds of Bounded Geometry

DOI10.1080/03605302.2011.618211zbMath1239.53068arXiv1004.3387OpenAlexW2593157073MaRDI QIDQ5389570

Nadine Große

Publication date: 21 April 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3387

zbMATH Keywords

PDEopen manifolds with bounded geometryspin conformal geometry

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Differential geometric aspects of harmonic maps (53C43) PDEs on manifolds (35R01)

Related Items (10)

\(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces ⋮ Relations between threshold constants for Yamabe type bordism invariants ⋮ Symmetric solutions for a 2D critical Dirac equation ⋮ Ground state Dirac bubbles and Killing spinors ⋮ Solvability of Dirac type equations ⋮ The Yamabe constant on noncompact manifolds ⋮ A spinorial analogue of the Brezis-Nirenberg theorem involving the critical Sobolev exponent ⋮ Some properties of Dirac-Einstein bubbles ⋮ Sharp decay estimates for critical Dirac equations ⋮ Sobolev spaces on Riemannian manifolds with bounded geometry: General coordinates and traces

Cites Work

• On the \(L^p\) independence of the spectrum of the Hodge Laplacian on non-compact manifolds
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• Theory of function spaces II
• The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions
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• On the \(L^ p\)-spectrum of uniformly elliptic operators on Riemannian manifolds
• 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
• On a conformal invariant of the Dirac operator on noncompact manifolds
• The Yamabe problem
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