Abstract
In this chapter we show how Bott’s perfect Morse functions (discussed in Example 3.7) are examples of a more general class of Morse-Smale functions defined on the complex Grassmann manifolds. The Morse-Smale functions, f A : G n,n+k (ℂ) → ℝ, are defined analogous to the Morse functions constructed in Theorem 3.8.
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© 2004 Springer Science+Business Media Dordrecht
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Banyaga, A., Hurtubise, D. (2004). Morse Theory On Grassmann Manifolds. In: Lectures on Morse Homology. Kluwer Texts in the Mathematical Sciences, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2696-6_8
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DOI: https://doi.org/10.1007/978-1-4020-2696-6_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6705-0
Online ISBN: 978-1-4020-2696-6
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