A relation between height, area, and volume for compact constant mean curvature surfaces in \(\mathbb M^{2} \times \mathbb R\)
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Publication:1940074
DOI10.1307/mmj/1331222850zbMath1260.53115OpenAlexW2050744621MaRDI QIDQ1940074
Harold Rosenberg, Claudemir Leandro
Publication date: 5 March 2013
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.mmj/1331222850
Related Items (3)
CMC graphs with planar boundary in \(\mathbb{H}^2\times \mathbb{R}\) ⋮ Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map ⋮ Height estimates for \(H\)-surfaces in the warped product \({\mathbb {M}}\times _{f} {\mathbb {R}}\)
Cites Work
- Constant mean curvature surfaces with planar boundary
- Height estimates for surfaces with positive constant mean curvature in \(\mathbb M^2\times\mathbb R\)
- A proof of a general isoperimetric inequality for surfaces
- On surfaces of constant mean curvature which span a given space curve
- Examples of $H$-hypersurfaces in $H^n \times R$ and geometric applications
- Constant mean curvature surfaces in 𝑀²×𝐑
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