On the two-systole of real projective spaces

@article{Ambrozio2018OnTT,
  title={On the two-systole of real projective spaces},
  author={L. Ambrozio and R. Montezuma},
  journal={arXiv: Differential Geometry},
  year={2018}
}
We establish an integral-geometric formula for minimal two-spheres inside homogeneous three-spheres, and use it to provide a characterisation of each homogeneous metric on the three-dimensional real projective space as the unique metric with the largest possible two-systole among metrics with the same volume in its conformal class. 
On the min-max width of unit volume three-spheres.
How large can be the width of Riemannian three-spheres of the same volume in the same conformal class? If a maximum value is attained, how does a maximising metric look like? What happens as theExpand

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