Regina Rotman

Pennsylvania State University and University of Toronto

Contact: rotman (at) math.psu.edu

Funding: NSF Grant

Curvature-Free Estimates for Extremal Objects in Riemannian Geometry and Quantitative Topology

Research: Mathscinet Reviews

• "The length of a shortest geodesic loop at a point" preprint
• "The length of a shortest geodesic net on a closed Riemannian Manifold" preprint
• "The length of a shortest closed geodesic and the area of a $2$-dimensional sphere", to appear in Proceedings of the AMS. preprint
• "Curvature-free upper bounds for the smallest area of a minimal surface", with Alexander Nabutovsky, to appear in GAFA,
• "The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group." with Alexander Nabutovsky, Geom. Dedicata 113 (2005), 243--254.
• "The length of a shortest closed geodesic on a two-dimensional sphere and coverings by metric balls." Geom. Dedicata 110 (2005), 143--157. preprint
• "Volume, diameter and the minimal mass of a stationary 1-cycle." with Alexander Nabutovsky, Geom. Funct. Anal. 14 (2004), no. 4, 748--790.
• "Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem." with Alexander Nabutovsky, J. Eur. Math. Soc. (JEMS) 5 (2003), no. 3, 203--244.
• "The area of a minimal embedded 2-sphere in a manifold diffeomorphic to $S\sp 3$." with Alexander Nabutovsky, Int. Math. Res. Not. 2003, no. 39, 2121--2129.
• "The length of the shortest closed geodesic on a 2-dimensional sphere"with Alexander Nabutovsky, Int. Math. Res. Not. 2002, no. 23, 1211--1222. preprint
• "Upper bounds on the length of the shortest closed geodesic on simply connected manifolds". Math. Z. 233 (2000), no. 2, 365--398. preprint