AN INTRINSIC PROOF OF THE GENERALIZED HADAMARD-CARTAN THEOREM

Yong-Il Kim (Korea) and Doohann Lee (Korea)

Received March 7, 2008

References:

[1] S. B. Alexander and R. L. Bishop, The Hadamard-Cartan theorem in locally convex metric spaces, Enseign. Math. (2) 36 (1990), 309-320. [2] W. Ballmann, Singular spaces of nonpositive curvature, Sur les groupes hyperboliques d’après Mikhael Gromov, Bern, 1988, pp. 189-201, Progr. Math., 83, Birkhäuser Boston, Boston, MA, 1990. [3] S. Buyalo, Lectures on space of curvature bounded from above III, spring semester 1994/95 a.y. University of Illinois at Urbana Champaign. [4] M. Gromov, Hyperbolic Groups, Essays in Group Theory, Math. Sci. Res. Inst. Publ., 8, Springer, New York, 1987, pp. 75-263.

Keywords and phrases: singular Hadamard space, Hadamard-Cartan theorem.