An expression for the volume of a Riemannian manifold in terms of the distances between boundary points. (English. Russian original) Zbl 0886.53053
Dokl. Math. 52, No. 3, 388 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 345, No. 3, 312 (1995).
It is given, in an invariant form, a formula for the volume of a simple compact \(n\)-dimensional Riemannian manifold which is expressed in terms of the so-called angular godograph of the metric of the manifold.
Reviewer: G.Stanilov (Sofia)
