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math.DG2026
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…
math.DG2025
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,…
math.DG2025
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…