2 problems

Global isoperimetric conjecture for centered circles in the Holmes–Thompson plane
Global Holmes–Thompson isoperimetric conjecture. The circle $c_0$ encloses the maximal Holmes–Thompson area among all such curves.
openfinsler-geometry holmes-thompson-area isoperimetric-problem
0 responses
017
Existence and uniqueness conjecture for constant mean curvature spheres in Sol_3
Let $\mathrm{Sol}_3$ be the three-dimensional Sol geometry, and let $H>0$ . A constant mean curvature (CMC) $H$ sphere is an immersed sphere in $\mathrm{Sol}_3$ with constant mean c…
openconstant-mean-curvature-surfaces isoperimetric-problem sol-geometry
0 responses
03

Global isoperimetric conjecture for centered circles in the Holmes–Thompson plane