Geometry III: Theory of Surfaces (Encyclopaedia of Mathematical Sciences)

Description

The theory of two-dimensional surfaces in Euclidean spaces is remarkably rich in deep results and applications, for example in the theory of non-linear partial differential equations, physics and mechanics. This theory has great clarity and intrinsic beauty, and differs in many respects from the theory of multidimensional submanifolds. A separate volume of the Encyclopaedia is therefore devoted to surfaces. It is concerned mainly with the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry (and its generalizations), and, above all, with the question of the influence of properties of intrinsic metrics on the geometry of surfaces. In the first article Yu.D.Burago and S.Z.Shefel' give an extended survey of surfaces from a non-traditional viewpoint stressing the connection between classes of metrics and classes of surfaces in En. A number of conjectures are included. The article of E.R.Rozendorn considers the state of the art of the still incomplete theory of the geometry of surfaces of negative curvature in three-dimensional Euclidean space, and the article of I.Kh.Sabitov considers subtle questions of local bendability and rigidity ofsurfaces. These articles reflect the development of the results of N.V.Efimov and also include statements of unsolved problems.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Geometry III: Theory of Surfaces (Encyclopaedia of Mathematical Sciences)" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2412
2. Algebra VII: Combinatorial Group Theory. Applications to Geometry (Encyclopaedia of Mathematical Sciences)
3. Algebra VII: Combinatorial Group Theory. Applications to Geometry (Encyclopaedia of Mathematical Sciences)
4. Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces (Encyclopaedia of Mathematical Sciences)
5. Algebraic Geometry II: Cohomology of Algebraic Varieties. Algebraic Surfaces (Encyclopaedia of Mathematical Sciences)
6. Algebraic Geometry IV : Linear Algebraic Groups, Invariant Theory (Encyclopaedia of Mathematical Sciences)
7. Algebraic Geometry IV : Linear Algebraic Groups, Invariant Theory (Encyclopaedia of Mathematical Sciences)
8. Geometry IV: Non-regular Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
9. Geometry IV: Non-regular Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
10. Geometry VI: Riemannian Geometry (Encyclopaedia of Mathematical Sciences)
11. Geometry II: Spaces of Constant Curvature (Encyclopaedia of Mathematical Sciences)
12. Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences)
13. Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences) (Repost)
14. Algebraic Geometry V: Fano Varieties (Encyclopaedia of Mathematical Sciences) (Repost)
15. Dynamical Systems V: Bifurcation Theory and Catastrophe Theory (Encyclopaedia of Mathematical Sciences)
16. Theory of Operator Algebras II (Encyclopaedia of Mathematical Sciences)