The rational filling radius of complex projective space

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We compute the filling radius with rational coefficients of CPn by studying the Serre spectral sequence of the total space of the unit tangent bundle viewed as a principal SO(3)-bundle on the Grassmannian of 2-planes in CPn. We also compute the (integer) filling radius of CPn and exhibit a torsion obstruction to filling CPn. We discuss a related aspect of the global geometry of CPn.

Original languageEnglish
Pages (from-to)201-215
Number of pages15
JournalTopology and its Applications
Issue number3
StatePublished - 26 Nov 1991
Externally publishedYes

Bibliographical note

Funding Information:
in part by S.E.R.C. Grant GR/E/99970.


  • Filling radius
  • Kuratowski isometric embedding
  • Schubert calculus
  • Serre spectral sequence
  • diameter functional


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