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- W4313305488 abstract "Given $varepsilon_0>0$, $Iin mathbb{N}cup {0}$ and $K_0,H_0geq0$, let $X$ be a complete Riemannian $3$-manifold with injectivity radius $mbox{Inj}(X)geq varepsilon_0$ and with the supremum of absolute sectional curvature at most $K_0$, and let $M looparrowright X$ be a complete immersed surface of constant mean curvature $Hin [0,H_0]$ with index at most $I$. For such $M looparrowright X$, we prove Structure Theorem 1.2 which describes how the interesting ambient geometry of the immersion is organized locally around at most $I$ points of $M$ where the norm of the second fundamental form takes on large local maximum values." @default.
- W4313305488 created "2023-01-06" @default.
- W4313305488 creator A5018495161 @default.
- W4313305488 creator A5077676910 @default.
- W4313305488 date "2022-12-27" @default.
- W4313305488 modified "2023-09-27" @default.
- W4313305488 title "Hierarchy structures in finite index CMC surfaces" @default.
- W4313305488 doi "https://doi.org/10.48550/arxiv.2212.13594" @default.
- W4313305488 hasPublicationYear "2022" @default.
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