Least area Spherical Catenoids in Hyperbolic Three-Dimensional Space

الأصل · EN

For a family of spherical minimal catenoids Cₐ in the hyperbolic 3-space, there exist two constants 0<ac<aₗ such that the following are true: (1) Cₐ is an unstable minimal surface with index one if a<ac, (2) Cₐ is a stable minimal surface if a>=ac, and (3) Cₐ is a least area minimal surface in the sense of Meeks-Yau if a>=aₗ.