13 citations · 17 across the 6 of their papers we have counts for
4 papers · 2 filters
Scalar curvature and harmonic one-forms on three-manifolds with boundary
Hubert L. Bray, Daniel L. Stern
For a homotopically energy-minimizing map on a compact, oriented -manifold with boundary, we establish an identity relating the average Euler characteristic…
Harmonic Functions and The Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds
Hubert L. Bray, Demetre P. Kazaras, Marcus A. Khuri +1
An explicit lower bound for the mass of an asymptotically flat Riemannian 3-manifold is given in terms of linear growth harmonic functions and scalar curvature. As a consequence, a…
Scalar curvature and harmonic maps to
Daniel Stern
For a harmonic map on a closed, oriented --manifold, we establish the identity $$2π\int_{θ\in S^1}χ(Σ_θ)\geq \frac{1}{2}\int_{θ\in S^1}\int_{Σ_θ}(|du|^{-2}|Hess(u…
Minimal submanifolds from the abelian Higgs model
Alessandro Pigati, Daniel Stern
Given a Hermitian line bundle over a closed, oriented Riemannian manifold , we study the asymptotic behavior, as , of couples critical for the…