A calculus for conformal hypersurfaces and new higher Willmore energy functionals

DOI10.1515/advgeom-2019-0016zbMath1434.53062arXiv1611.04055OpenAlexW3000499191WikidataQ126340931 ScholiaQ126340931MaRDI QIDQ2301372

A. Rod Gover, Andrew K. Waldron

Publication date: 24 February 2020

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

Full work available at URL: https://arxiv.org/abs/1611.04055

zbMATH Keywords

holographyYamabe problemconformal geometryhypersurfacesconformally compactWillmore energy

Mathematics Subject Classification ID

Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Differential invariants (local theory), geometric objects (53A55) Other connections (53B15) Conformal structures on manifolds (53C18)

Related Items (9)

Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes ⋮ Variational calculus for hypersurface functionals: singular Yamabe problem Willmore energies ⋮ A sharp characterization of the Willmore invariant ⋮ Conformal fundamental forms and the asymptotically Poincare-Einstein condition ⋮ Scattering on singular Yamabe spaces ⋮ Renormalized volumes with boundary ⋮ Asymptotic shear and the intrinsic conformal geometry of null-infinity ⋮ Conformal geometry of embedded manifolds with boundary from universal holographic formulæ ⋮ Residue families, singular Yamabe problems and extrinsic conformal Laplacians

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