Isoperimetric Problem in ${\Bbb C}P^2$

Problem's Description

In the open problem notes, [1], Problem 15, Frank Morgan proposed the following problem.

Statement: Prove that geodesic spheres provide the least-perimeter way to enclose prescribed volume in $\mathbb{C} P^2$.

For further references see [2].

1. ArticleIs an originA list of open problems in differential geometry

   • Frank Morgan,
   • Pierre Pansu

   São Paulo Journal of Mathematical Sciences 15, 305-321, 2021fulltext

2. Book A panoramic view of Riemannian geometry

   • Marcel Berger

   pp. xxiv+824, year of publication: 2003fulltext