Foundations of Morse Theory and Applications: Critical Point Theory and Geometric Analysis

Degla, Guy; Salako, Rachidi B.

ISBN 10: 3659283657 / ISBN 13: 9783659283659

Published by LAP LAMBERT Academic Publishing, 2012

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Bibliographic Details

• Title: Foundations of Morse Theory and Applications: Critical Point Theory and Geometric Analysis
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2012
• Language: English
• ISBN 10: 3659283657
• ISBN 13: 9783659283659
• Binding: Soft cover
• Condition: New

About this title

Synopsis

The Morse theory is a sophisticated approach to explore the shape of a manifold by studying certain of its real-valued functions which can be expressed as non-degenerate canonical quadratic forms in some local coordinate systems about their critical point. In this project, we focus on the basic theorems of Morse Theory including Reeb's result which states that every compact finite dimensional smooth manifold that admits a smooth function with exactly two critical points which are both non-degenerate, is homeomorphic to a sphere.

About the Author

PhD Functional Analysis and Applications, SISSA, Trieste, Italy.Researcher at the African University of Science and Technology (AUST), Abuja, Nigeria, and at the Institut de Mathematiques et de Sciences Physiques (IMSP), Porto-Novo, Benin.Joint Project with R. B. Salako (PhD Student, AUST).