4 papers
An analytical characterization of Eguchi-Hanson space and its higher-dimensional analogs
Michael B. Law
Let be a complete 4-dimensional Ricci-flat ALE orbifold with finitely many orbifold points and group at infinity . We prove that if the kernel of its Li…
On steady and expanding Ricci solitons with asymptotic symmetries
Michael B. Law
We establish a symmetry principle for asymptotically cylindrical steady gradient Ricci solitons (GRSs) and asymptotically conical expanding GRSs with homogeneous links. Using this,…
Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature
Shrey Aryan, Michael B. Law
We establish a concavity principle for solutions to elliptic and parabolic equations on locally symmetric spaces with nonnegative sectional curvature, extending the results of Lang…
Drift-harmonic functions with polynomial growth on asymptotically paraboloidal manifolds
Michael B. Law
We construct and classify all polynomial growth solutions to certain drift-harmonic equations on complete manifolds with paraboloidal asymptotics. These encompass the natural drift…