On a conformal Gauss-Bonnet-Chern inequality for LCF manifolds and related topics
From MaRDI portal
Publication:2486971
DOI10.1007/s00526-004-0311-8zbMath1083.53035arXivmath/0403221OpenAlexW1968960590MaRDI QIDQ2486971
Publication date: 17 August 2005
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403221
Characteristic classes and numbers in differential topology (57R20) Global Riemannian geometry, including pinching (53C20)
Related Items (6)
The higher-dimensional Chern-Gauss-Bonnet formula for singular conformally flat manifolds ⋮ Manifolds for which Huber's theorem holds ⋮ Toward best isoperimetric constants for \((H^1,BMO)\)-normal conformal metrics on \(\mathbb R^n,n\geqslant 3\) ⋮ Logarithmic potentials, quasiconformal flows, and \(Q\)-curvature ⋮ An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics ⋮ Conformal invariants and partial differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- \(Q\)-curvature and Poincaré metrics
- On subharmonic functions and differential geometry in the large
- Prescribing Gaussian curvature on S 2
- Group representations arising from Lorentz conformal geometry
- Compact isospectral sets of surfaces
- Extremals of determinants of Laplacians
- Estimates and extremals for zeta function determinants on four-manifolds
- \(C^\infty\) convex functions and manifolds of positive curvature
- On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
- Conformally invariant powers of the Laplacian, \(Q\)-curvature, and tractor calculus
- Scattering matrix in conformal geometry
- Ambient metric construction of \(Q\)-curvature in conformal and CR geometries
- On the Chern-Gauss-Bonnet integral for conformal metrics on \(\mathbb{R}^4\)
- Some new conformal covariants
- Compactification of a class of conformally flat 4-manifold
- On the positivity of the effective action in a theory of random surfaces
- An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
- Extremal metrics of zeta function determinants on 4-manifolds
- The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE
- Conformal geometry, contact geometry, and the calculus of variations
- On Conformally Invariant Differential Operators
- The Yamabe problem
- The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
- Regularity of a Fourth Order Nonlinear PDE with Critical Exponent
- Invariants of Locally Conformally Flat Manifolds
- Sharp Inequalities, the Functional Determinant, and the Complementary Series
- The Asymptotics of The Laplacian on a Manifold with Boundary
This page was built for publication: On a conformal Gauss-Bonnet-Chern inequality for LCF manifolds and related topics
