Regina Rotman
Pennsylvania State University and
University of Toronto
Contact: rotman (at) math.psu.edu
Funding: NSF Grant
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.
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"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.
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"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
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"Upper bounds on the length of the shortest closed geodesic on simply connected manifolds". Math. Z. 233 (2000), no. 2, 365--398.
preprint
Papers with Nabutovsky are available here.