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

UnconfirmedYear of origin: 2021

Posted online: 2022-01-24 07:26:33Z by SciLag Admin7

Cite as: P-220124.1

• Differential Geometry

### 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

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

2. ## Book A panoramic view of Riemannian geometry

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