Conformal geometry of embedded manifolds with boundary from universal holographic formulæ

DOI10.1016/j.aim.2021.107700zbMath1502.53046arXiv1906.01731OpenAlexW3155711347MaRDI QIDQ2237348

Cesar Arias, A. Rod Gover, Andrew K. Waldron

Publication date: 27 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01731

zbMATH Keywords

Yamabe problemconformal geometry\(Q\) and \(T\)-transgression curvaturesembedded manifolds with boundaryminimal hypersurface asymptoticsWillmore energies with boundary

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Applications of global differential geometry to the sciences (53C80) Applications of local differential geometry to the sciences (53B50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local submanifolds (53B25) Differential invariants (local theory), geometric objects (53A55) Conformal structures on manifolds (53C18)

Related Items

A sharp characterization of the Willmore invariant, Extrinsic Paneitz operators and \(Q\)-curvatures for hypersurfaces, Toward a classification of conformal hypersurface invariants, Scattering on singular Yamabe spaces, Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner, Residue families, singular Yamabe problems and extrinsic conformal Laplacians

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