Global Differential Geometry of Surfaces

Released on by A. Svec
preview-18

  • Global Differential Geometry of Surfaces Book Detail

  • Author : A. Svec
  • Release Date : 2001-11-30
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 160
  • ISBN 13 : 9781402003189
  • File Size : 57,57 MB
DOWNLOAD BOOK

Global Differential Geometry of Surfaces by A. Svec PDF Summary

Book Description: Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur faces in the Euclidean 3-space, this being the most natural object for investigation. The global differential geometry of surfaces in E3 is based on two classical results: (i) the ovaloids (i.e., closed surfaces with positive Gauss curvature) with constant Gauss or mean curvature are the spheres, (ü) two isometrie ovaloids are congruent. The results presented here show vast generalizations of these facts. Up to now, there is only one book covering this area of research: the Lecture Notes [3] written in the tensor slang. In my book, I am using the machinary of E. Cartan's calculus. It should be equivalent to the tensor calculus; nevertheless, using it I get better results (but, honestly, sometimes it is too complicated). It may be said that almost all results are new and belong to myself (the exceptions being the introductory three chapters, the few classical results and results of my post graduate student Mr. M. ÄFWAT who proved Theorems V.3.1, V.3.3 and VIII.2.1-6).

Disclaimer: www.yourbookbest.com does not own Global Differential Geometry of Surfaces books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Global Differential Geometry of Surfaces

Global Differential Geometry of Surfaces

File Size : 26,26 MB
Total View : 5432 Views
DOWNLOAD

Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur

Global Differential Geometry of Surfaces

Global Differential Geometry of Surfaces

File Size : 6,6 MB
Total View : 6257 Views
DOWNLOAD

Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur

Global Differential Geometry of Surfaces

Global Differential Geometry of Surfaces

File Size : 98,98 MB
Total View : 2881 Views
DOWNLOAD

Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur