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Surfaces in Classical Geometries

Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry. The method of moving frames, a natural means for discovering and proving important results, provides the basis of treatment for topics discussed. Its application in many areas helps to connect the various geometries and to uncover many deep relationships, such as the Lawson correspondence. The nearly 300 problems and exercises range from simple applications to open problems. Exercises are embedded in the text as essential parts of the exposition. Problems are collected at the end of each chapter; solutions to select problems are given at the end of the book. Mathematica®, Matlab™, and Xfig are used to illustrate selected concepts and results. The careful selection of results serves to show the reader how to prove the most important theorems in the subject, which may become the foundation of future progress.

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Detail Information
Series Title
Universitext
Call Number
-
Publisher
Cham : Springer.,
Collation
XIII, 571
Language
English
ISBN/ISSN
978-3-319-27076-0
Classification
NONE
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
-
Subject(s)
Mathematics and Statistics
Specific Detail Info
-
Statement of Responsibility
Other Information
Cataloger
Jemadi
Source
https://link.springer.com/content/pdf/10.1007/978-3-319-27076-0.pdf?pdf=button
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