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- W4287642435 abstract "Using the local picture of the degeneration of sequences of minimal surfaces developed by Chodosh, Ketover and Maximo we show that in any closed Riemannian 3-manifold $(M,g)$, the genus of an embedded CMC surface can be bounded only in terms of its index and area, independently of the value of its mean curvature. We also show that if $M$ has finite fundamental group, the genus and area of any non-minimal embedded CMC surface can be bounded in term of its index and a lower bound for its mean curvature." @default.
- W4287642435 created "2022-07-25" @default.
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- W4287642435 date "2020-10-12" @default.
- W4287642435 modified "2023-09-29" @default.
- W4287642435 title "On the genus and area of constant mean curvature surfaces with bounded index" @default.
- W4287642435 doi "https://doi.org/10.48550/arxiv.2010.06043" @default.
- W4287642435 hasPublicationYear "2020" @default.
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