For each r in (0,π/2), a free boundary minimal Möbius band immersed by first Steklov eigenfunctions exists in the four-dimensional spherical cap, and any such immersion is intrinsically rotationally symmetric.
Sharp eigenvalue bounds and min- imal surfaces in the ball
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Free boundary minimal M\"obius band in spherical caps
For each r in (0,π/2), a free boundary minimal Möbius band immersed by first Steklov eigenfunctions exists in the four-dimensional spherical cap, and any such immersion is intrinsically rotationally symmetric.