On singular Yamabe obstructions

Abstract

We discuss the singular Yamabe obstruction ${\mathcal{B}}_3$ of a hypersurface in a four-dimensional general background. We derive various explicit formula for ${\mathcal{B}}_3$ from the original definition. We relate these formulas to corresponding formulas in the literature. The proofs are elementary.

33 pages, corrected typos, added reference

References in corpus (2)

• Generalising the Willmore equation: submanifold conformal invariants from a boundary Yamabe problem
• Residue families, singular Yamabe problems and extrinsic conformal Laplacians

Cited by in corpus (1)

• Residue families, singular Yamabe problems and extrinsic conformal Laplacians