
(with M. Ghomi and J. Wong),
Topology
of nonnegatively curved hypersurfaces spanning a prescribed boundary in $R^n$ (pdf), submitted.
(with R. Bishop and R. Ghrist),
Capture pursuit games on unbounded domains with boundary (pdf), submitted.
(with V. Kapovitch and A. Petrunin),
An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds (pdf), Illinois J. Math., to appear.
(with R.L. Bishop),
Lorentz and semi-Riemannian spaces with Alexandrov curvature bounds, Comm. Anal. Geom. 16 (2008), 251-282.
(pdf), ( ps ), .
(with R. Bishop and R. Ghrist),
Pursuit and evasion in non-convex domains of arbitrary dimension (pdf), Proc. Robotics Systems & Science (2006).
(with R. L. Bishop), Gauss equation and injectivity radii for subspaces in spaces of curvature bounded above, (pdf), ( ps ), Geometriae Dedicata 117 (2006), 65-84.
_____, A cone splitting
theorem for Alexandrov spaces, (pdf), (ps), Pacific J. Math. 218 (2005), 1-16.
_____, Curvature bounds for warped products of metric spaces (pdf), (ps), Geom.Funct. Anal. 14 (2004) 1143-1181.
(with M. Ghomi), The convex hull property of noncompact
hypersurfaces with positive curvature (pdf), Amer. J. Math. 126 (2004) 891-897.
(with R. L. Bishop), Spines and topology of thin Riemannian
manifolds with boundary (pdf), (ps), Trans. A.M.S. 355 (2003) 4933-4954.
(with M. Ghomi), The convex hull property and topology
of hypersurfaces with nonnegative curvature, Advances in Math. 180 (2003) 324-354.
(with R. L. Bishop), FK-convex functions on metric spaces, Manuscripta Math. 110 (2003) 115-133.
_____, Spines and homology of thin Riemannian
manifolds with boundary, Advances in Math. 155 (2000) 23-48.
______, Warped products of Hadamard spaces, Manuscripta
Math. 96 (1998) 487-505.
______, The Fary-Milnor theorem in Hadamard manifolds,
Proc. Amer. Math. Soc. 126 (1998) 3427-3436.
______, Thin Riemannian manifolds with boundary,
Math. Annalen 310 (1998) 601-616
______, Racetracks and extremal problems for curves
of bounded curvature in metric spaces, Geometriae Dedicata 66 (1997) 331-341.
______, Comparison theorems for curves of bounded
geodesic curvature in metric spaces of curvature bounded above, Diff. Geom.
App. 6 (1996) 67- 86.
(with I.D. Berg, R.L. Bishop) Cut loci, minimizers
and wave fronts in Riemannian manifolds with boundary}, Michigan Math.
J. 40 (1993) 229-237.
(with R. J. Currier) Hypersurfaces and nonnegative
curvature, Differential Geometry (R. E. Greene, S.-T. Yau, eds.), Proc.
Symposia in Pure Math. 54 (part 3) (1993) 37-44.
(with I. D. Berg, R. L. Bishop) The distance geometry
of Riemannian manifolds with boundary, Differential Geometry (R. E. Greene,
S.-T. Yau, eds.), Proc. Symposia in Pure Math. 54 (part 3) (1993), 31-36.
______, Geometric curvature bounds in Riemannian
manifolds with boundary, Trans. Amer. Math. Soc. 339 (1993) 703-716.
(with R.J. Currier) Nonnegatively curved ends of
Euclidean hypersurfaces, Geom. Dedicata 40 (1991) 29-43.
(with R.L. Bishop) The Hadamard-Cartan theorem in
locally convex metric spaces, Enseign. Math. 36 (1990) 309-320.
(with R.J. Currier) Nonnegatively curved hypersurfaces
of hyperbolic space and subharmonic functions, J. London Math. Soc. (2)
41 (1990) 347-360.
Last updated aug07