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Deane Yang
Deane Yang
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I'm not sure about who did it first and how sharp the results are, but you can find isoperimetric inequalities for a negative lower bound on Ricci in a paper of Croke (http://www.math.poly.edu/people/faculty.phtml). My recollection is that Gallot also proved a similar isoperimetric inequality, but I can't seem to find the paper.

I'm not sure about who did it first and how sharp the results are, but you can find isoperimetric inequalities for a negative lower bound on Ricci in a paper of Croke (http://www.math.poly.edu/people/faculty.phtml). My recollection is that Gallot also proved a similar isoperimetric inequality, but I can't seem to find the paper.

I'm not sure about who did it first and how sharp the results are, but you can find isoperimetric inequalities for a negative lower bound on Ricci in a paper of Croke. My recollection is that Gallot also proved a similar isoperimetric inequality, but I can't seem to find the paper.

Source Link
Deane Yang
Deane Yang
  • 27.5k
  • 5
  • 89
  • 180

I'm not sure about who did it first and how sharp the results are, but you can find isoperimetric inequalities for a negative lower bound on Ricci in a paper of Croke (http://www.math.poly.edu/people/faculty.phtml). My recollection is that Gallot also proved a similar isoperimetric inequality, but I can't seem to find the paper.