The paper is devoted to discovering relations between inner metrics of manifolds with sectional curvature bounded from above (from below) by some constant and topological (simplicial, piecewise-linear, or smooth) structures on such manifolds. Examples of Alexandrov spaces with one-sided bounded curvature having exotic properties are given. Bibliography: 6 titles.
机构:
Latvian State Univ, Inst Math & Comp Sci, Raina B 19, LV-1459 Riga, LatviaLatvian State Univ, Inst Math & Comp Sci, Raina B 19, LV-1459 Riga, Latvia