A sharp characterization of the Willmore invariant
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Publication:6095458
DOI10.1142/s0129167x23500544arXiv2112.14378OpenAlexW4378381888MaRDI QIDQ6095458
Publication date: 8 September 2023
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.14378
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Differential invariants (local theory), geometric objects (53A55) Conformal structures on manifolds (53C18)
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- The \(\mathfrak{so}(d+2,2)\) minimal representation and ambient tractors: the conformal geometry of momentum space
- Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
- On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
- Conformally invariant powers of the Laplacian, \(Q\)-curvature, and tractor calculus
- Conformal anomaly of submanifold observables in AdS/CFT correspondence
- Thomas's structure bundle for conformal, projective and related structures
- Conformal hypersurface geometry via a boundary Loewner-Nirenberg-Yamabe problem
- Conformal boundary operators, \(T\)-curvatures, and conformal fractional Laplacians of odd order
- Conformal geometry of embedded manifolds with boundary from universal holographic formulæ
- Almost Einstein and Poincaré-Einstein manifolds in Riemannian signature
- A calculus for conformal hypersurfaces and new higher Willmore energy functionals
- Variational calculus for hypersurface functionals: singular Yamabe problem Willmore energies
- Min-max theory and the Willmore conjecture
- Higher-dimensional Willmore energies via minimal submanifold asymptotics
- Volume renormalization for singular Yamabe metrics
- The Ambient Metric (AM-178)
- ℋ -Space with a cosmological constant
- Conformally Invariant Powers of the Laplacian, I: Existence
- Boundary calculus for conformally compact manifolds
- Conformally invariant bending energy for hypersurfaces
