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math.DG2025
Submanifolds of Constant Negative Curvature: A Generalization of Hilbert's Theorem
John Douglas Moore
We use the generalized Gauss-Bonnet formula for Riemannian polyhedra discovered by Allendoerfer, Weil and Chern to show that hyperbolic space of dimension has no isometric imme…
math.DG2020
Self-intersections of Closed Parametrized Minimal Surfaces in Generic Riemannian Manifolds
John Douglas Moore
This article shows that for generic choice of Riemannian metric on a smooth manifold of dimension four, all prime compact parametrized minimal surfaces within have self-int…
math.DG2010★ 1 cited
Bumpy Riemannian metrics and closed parametrized minimal surfaces in Riemannian manifolds
John Douglas Moore
This article proves that if M is a smooth manifold of dimension at least four, then for generic choice of metric on M, all prime parametrized minimal surfaces in M are free of bran…