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

UnconfirmedYear of origin: 2021

Posted online: 2022-01-24 07:26:33Z by SciLag Admin39

Cite as: P-220124.1

  • Differential Geometry
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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

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  • Edited: (general update references edited ) at 2022-01-24 09:27:07Z

  • Created at: 2022-01-24 07:26:33Z View this version