By S.S. Kutateladze

A.D. Alexandrov's contribution to the sphere of intrinsic geometry was once unique and extremely influential. this article is a vintage that continues to be unsurpassed in its readability and scope. It provides his middle fabric, initially released in Russian in 1948, starting wth an overview of the most innovations after which exploring different themes, comparable to common propositions on an intrinsic metric; angles and curvature; lifestyles of a convex polyhedron with prescribed metric; curves on convex surfaces; and the position of particular curvature. this article presents Adefinitive resource for the improvement of intrinsic geometry and is essential for graduate scholars who need a greater knowing of this subject.

Show description

Read or Download A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics) PDF

Best geometry & topology books

Get Metric and Differential Geometry: The Jeff Cheeger PDF

Metric and Differential Geometry grew out of a equally named convention held at Chern Institute of arithmetic, Tianjin and Capital common collage, Beijing. a few of the contributions to this quantity hide a large diversity of themes in metric and differential geometry, together with metric areas, Ricci stream, Einstein manifolds, Kähler geometry, index idea, hypoelliptic Laplacian and analytic torsion.

New PDF release: Differential Characters (Lecture Notes in Mathematics)

Delivering a scientific advent to differential characters as brought by means of Cheeger and Simons, this article describes very important strategies comparable to fiber integration, larger dimensional holonomy, transgression, and the product constitution in a geometrical demeanour. Differential characters shape a version of what's these days referred to as differential cohomology, that's the mathematical constitution in the back of the better gauge theories in physics.

Abstract Regular Polytopes (Encyclopedia of Mathematics and - download pdf or read online

Summary typical polytopes stand on the finish of greater than millennia of geometrical study, which started with general polygons and polyhedra. they're hugely symmetric combinatorial constructions with designated geometric, algebraic or topological houses; in lots of methods extra interesting than conventional usual polytopes and tessellations.

Get The Algebraic Characterization of Geometric 4-Manifolds PDF

This e-book describes paintings, mostly that of the writer, at the characterization of closed 4-manifolds when it comes to regularly occurring invariants reminiscent of Euler attribute, basic crew, and Stiefel–Whitney periods. utilizing ideas from homological team thought, the speculation of 3-manifolds and topological surgical procedure, infrasolvmanifolds are characterised as much as homeomorphism, and floor bundles are characterised as much as basic homotopy equivalence.

Extra resources for A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics)

Example text

Download PDF sample

A.D. Alexandrov: Intrinsic Geometry of Convex Surfaces: Selected Works Part 2 (Classics of Soviet Mathematics) by S.S. Kutateladze


by David
4.5

Rated 4.33 of 5 – based on 36 votes