uni-bonn

 

Publications of Thomas Foertsch


Work in progress (no preprints available yet)

 

(23) With V. Schroeder: "Ptolemy-circle spaces ", 
no preprint available yet
(22) With M. Bonk: "Asymptotic lower curvature bounds in coarse geometry ", 
no preprint available yet
(21) With M. Bonk: "Asymptotic upper curvature bounds in coarse geometry II ", 
no preprint available yet

 
 
 

Submitted for publication

 

(20) " On Rough-Isometry Classes of Hilbert Geometries ", 

 
 
 

Accepted for publication

 

(19) With K. Radke: "Characterizing complete CAT(k)-spaces, k<0, with geodesic boundaries ", 
accepted for publication in Transactions of the American Mathematical Society
(18) With V. Schroeder: "Group actions on Ptolemy spaces ", 
accepted for publication in Transactions of the American Mathematical Society
(17) With V. Schroeder: "Hyperbolicity, CAT(-1)-spaces and the Ptolemy inequality ", 
accepted for publication in Mathematische Annalen, preprint 2006, 19pp [pdf]

 
 
 

Already published

 

(16) With A. Lytchak: "The de Rham decomposition theorem for metric spaces", 
Geom. Funct. Anal. 18 (2008), no. 1, 120--143, preprint 2006, 23pp [pdf]
(15) With A. Lytchak & V. Schroeder: "Non-positive curvature and the Ptolemy inequality ", 
Int Math Res Notices, 2007 Volume 2007 [pdf]
(14) With O. Bletz-Siebert: "Euclidean rank of Hilbert geometries", 
Pacific J. Math. 231 (2007), no. 2, 257--278 [pdf]
(13) With M. Bonk: "Asymptotic upper curvature bounds in coarse geometry", 
Math. Z. 253, 753-785 (2006) [pdf]
(12) With V. Schroeder: "A product construction for hyperbolic metric spaces", 
Ill. J. Math. 49, No.3, 793-810 (2005) [pdf]
(11) With A. Karlsson: "Hilbert Geometries and Minkowski norms", 
Journal of Geometry, Vol.83, No. 1-2, 22-31 (2005) [pdf]
(10) "Isometries of spaces of convex compact subsets of globally non-positively Busemann curved spaces", 
Colloquium Mathematicum, Vol. 103, No. 1, 71-84 (2005)
(9) With V. Schroeder "Hyperbolic rank for products", 
Proc. Amer. Math. Soc. 133, No. 2, 557-563 (2005)
(8) "Ball- versus distance convexity of metric spaces", 
Beitr. Algebra Geom. 45, No. 2, 481-500 (2004)
(7) With V. Schroeder "Products of hyperbolic metric spaces", 
Geom. Dedicata 102, 197-212 (2003)
(6) With W. Hasse and V. Perlick "Inertial forces and photon surfaces in arbitrary spacetimes", 
Class. Quantum Grav. 20, 4635-4651 (2003)
(5) With A. Bernig and V. Schroeder "Non standard metric products", 
Beitr. Algebra Geom. 44, No.2, pp 499-510 (2003)
(4) "The Hyperbolic Rank of Homogeneous Hadamard Manifolds ", 
Manuscripta Mathematica, Volume 109, Issue 1, pp 109-120 (2002)
(3) With V. Schroeder " Minkowski- versus Euclidean rank for products of metric spaces", 
Adv. Geom. 2, No.2, 123-131 (2002)
(2) "Bilipschitz embeddings of negative sectional curvature in products of warped product manifolds ", 
Proc. Amer. Math. Soc. 130, No.7, 2089-2096 (2002)
(1) With B. Wegner "Selected Topics in Singularities of Space-Times", 
Proc. Summer School on Diff. Geometry - Dep. de Matematica, Universidade de Coimbra - September 1999, 39-52