AN ESTIMATE FROM BELOW FOR THE SPATIAL DIAMETER OF A SURFACE IN TERMS OF ITS INTRINSIC RADIUS AND CURVATURE
Ju D Burago · Mathematics of the USSR-Sbornik · 1971
In this paper we prove the followingTheorem. Let be a regular simply connected surface of class in . There exist positive absolute constants and such that if , where is the Gaussian curvature and is the area element on , the estimate holds. Bibliography: 11 items.