Foundations Of Morse Theory And Applications: Critical Point Theory And Geometric Analysis

Degla, Guy; Salako, Rachidi B.; Degla, Guy; Salako, Rachidi B.

ISBN 10: 3659283657 / ISBN 13: 9783659283659

Published by Lap Lambert Academic Publishing, 2012

72 pages. 8.66x5.91x0.17 inches. In Stock. Seller Inventory # __3659283657

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).

Bibliographic Details

Title: Foundations Of Morse Theory And Applications...
Publisher: Lap Lambert Academic Publishing
Publication Date: 2012
Binding: Paperback
Condition: Brand New