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Morse-Bott inequalities for manifolds with boundary

Ryuma Orita
Tokyo Journal of Mathematics, vol. 41 (2018), no. 1, pp. 113–130
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Abstract
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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.

BibTeX
@article{orita2018morsebott,
  author        = {Orita, Ryuma},
  title         = {{Morse-Bott inequalities for manifolds with boundary}},
  journal       = {Tokyo Journal of Mathematics},
  volume        = {41},
  number        = {1},
  pages         = {113--130},
  year          = {2018},
  doi           = {10.3836/tjm/1502179256},
  eprint        = {1609.02381},
  archivePrefix = {arXiv}
}