Interface Foliation Near Minimal Submanifolds in Riemannian Manifolds with Positive Ricci Curvature

Manuel del Pino, Michal Kowalczyk, Juncheng Wei +1

Let $(\MM ,{\tilde g})$ be an $N$-dimensional smooth compact Riemannian manifold. We consider the singularly perturbed Allen-Cahn equation $$ ε^2Δ_{ {\tilde g}} {u}\,+\, (1 - {u}^2…