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Free boundary minimal M\"obius band in spherical caps
Mateus Spezia
https://arxiv.org/abs/2507.22332 https://arxiv.org/pdf/2507.22332

Free boundary minimal Möbius band in spherical caps
We study compactly free boundary minimal submanifolds in spherical caps $\Br$ and their geometric spectral properties. Following the foundational work of Fraser-Schoen \cite{FS2012}, Lima-Menezes \cite{LM23} established the connection between free boundary minimal surfaces in spherical caps and spectral geometry. In this work, we present three main contributions: (1) We prove that any free boundary minimal Möbius band in $\Br$ immersed by first Steklov eigenfunctions must be intrinsically rota…

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