Fred Wilhelm Publications
Technical Publications
On the filling radius of positively curved manifolds, Inventiones mathematicae 107 (1992), 653-668.
Collapsing to almost Riemannian spaces, Indiana University Mathematics Journal 41 (1992), 1119-1142.
On Radius, Systole, and Positive Ricci Curvature, Mathematische Zeitschrift 218 (1995), 597-602.
with K. Grove, Hard and soft packing radius theorems, Annals of Mathematics 142 (1995), 213-237.
with P. Petersen and S. Zhu, Spaces on and beyond the boundary of exisistence, Journal of Geometric Analysis 5 (1995) 419-426.
The radius rigidity theorem for manifolds of positive curvature, Journal of Di¤erential Geometry, 44 (1996), 634-665.
with K. Grove, Metric constraints on exotic spheres via Alexandrov geometry, Journal für reine und angewandte Mathematik 487 (1997) 201-217.
On intermediate Ricci curvature and fundamental groups, Illinois University Mathematics Journal, Illinois Journal of Mathematics 41 (1997) 488-494.
Exotic spheres with lots of positive curvatures, Journal of Geometric Analysis, 11 (2001) 161-186.
with P. Petersen, Examples of Riemannian manifolds with positive curvature almost everywhere, Geometry and Topology 3 (1999) 331-367.
An exotic sphere with positive curvature almost everywhere, Journal of Geometric Analysis, 11 (2001) 517-558
with M. Sanchez On the di¤eomorphism type of certain S3-bundles over S4, Proceedings of the American Mathematical Society, 130 (2001) 1139- 1143.
with P. Petersen, On Frankel's Theorem, Bulletin of the Canadian Mathematical Society, 46 (2003) 130-139.
with Ye-Lin Ou, Horizontally homothetic submersions and nonnegative curvature, Indiana University Mathematics Journal 56 (2007), 243-262.
with P. Petersen, An exotic sphere with positive sectional curvature, preprint.
with Ye-Lin Ou and Tiffany Troutman, Infinity-harmonic maps and morphisms, in preparation.
with Ye-Lin Ou and Tiffany Troutman, On the geometrization of Aronsson's equation, in preparation.