BOOK

Global Differential Geometry of Surfaces

---

This advanced mathematical text focuses on the study of global properties of surfaces in three-dimensional Euclidean space (
). While much of classical differential geometry deals with local properties (behavior in a small neighborhood), Švec concentrates on results that concern the surface as a whole. The book is notable for utilizing the machinery of Elie Cartan (the method of moving frames) rather than traditional tensor calculus. It covers foundational theorems such as the Gauss-Bonnet theorem and explores the rigidity of surfaces, including generalizations of classical results regarding ovaloids (closed surfaces with positive Gauss curvature).

---

Availability

Detail Information

Series Title

-

Call Number

516.36 S9695

Publisher

: D. Reidel Publishing Company., 1981

Collation

-

Language

English

ISBN/ISSN

9027712956

Classification

516.36

Content Type

-

Media Type

-

Carrier Type

-

Edition

1st

Subject(s)

-

Specific Detail Info

-

Statement of Responsibility

-

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment