ABSTRACT

Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the disci

chapter VIII|6 pages

Uniqueness theorems for closed surfaces

chapter IX|8 pages

On the area function of a convex body

chapter XII|12 pages

On tiling a space with polyhedra

chapter XIII|64 pages

On a generalization of Riemannian geometry

chapter XVI|30 pages

On the principles of relativity theory