Morse-Bott inequalities for manifolds with boundary
Ryuma Orita
TL;DR
This paper introduces Morse-Bott functions on manifolds with boundary and establishes Morse-Bott inequalities, extending classical Morse theory to a broader class of manifolds with boundary.
Contribution
It generalizes Morse functions to Morse-Bott functions on manifolds with boundary and proves related inequalities, expanding the theoretical framework.
Findings
Morse-Bott inequalities are established for manifolds with boundary.
Morse-Bott functions generalize Morse functions in this context.
Theoretical extension of Morse theory to new manifold classes.
Abstract
In the present paper, we define Morse-Bott functions on manifolds with boundary which are generalizations of Morse functions and show Morse-Bott inequalities for these manifolds.
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