Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2023
• Автори: Benatti, Luca, Fogagnolo, Mattia, Mazzieri, Lorenzo
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2023
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/212040
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature. Luca Benatti, Mattia Fogagnolo and Lorenzo Mazzieri. SIGMA 19 (2023), 091, 29 pages

We deal with suitable nonlinear versions of Jauregui's isocapacitary mass in 3-manifolds with nonnegative scalar curvature and compact outermost minimal boundary. These masses, which depend on a parameter 1 < 𝑝 ≤ 2, interpolate between Jauregui's mass 𝑝 = 2 and Huisken's isoperime...