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Perfect Morse Function on SO(n) by Ruslan Skuratovskii is a document available to read on EtoBox.
The main point of Morse Theory, which was introduced in [6], is investigating the relation between shape of a smooth manifold M and critical points of a specific real-valued function f : M →R, that is calledMorse function. [5] and [4] are two of main sources about this subject, so mostly we will use their beautiful tools for defining aMorse function on SO(n). Also, we will refer [2] to use homological properties and to determine the Poincaré polynomial of SO(n). Perfect Morse functions are widel
- Author
- Ruslan Skuratovskii
- Language
- EN