Minimal surfaces of Riemann type in three-dimensional product manifolds
From MaRDI portal
Publication:865254
DOI10.2140/pjm.2006.224.91zbMath1108.49031OpenAlexW1989844171MaRDI QIDQ865254
Publication date: 13 February 2007
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2006.224.91
harmonic mapJacobi fieldstable minimal surfacestability indexJacobi operatorperiodic minimal surface
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Embeddings in differential topology (57R40)
Related Items
Free boundaries surfaces and saddle towers minimal surfaces in \(\mathbb{S}^2 \times \mathbb{R}\), The Gauss map of minimal surfaces in Berger spheres, On doubly periodic minimal surfaces in \(\mathbb H^2 \times\mathbb R\) with finite total curvature in the quotient space, Higher genus Riemann minimal surfaces, Uniqueness of minimal surfaces whose boundary is a horizontal graph and some Bernstein problems in \({{\mathbb{H}^{2}\times \mathbb{R}}}\), New complete embedded minimal surfaces in \({\mathbb {H} ^2\times \mathbb {R}}\), Uniqueness of \(H\)-surfaces in \(\mathbb H^2 \times \mathbb R\), \(|H|\leq 1/2\), with boundary one or two parallel horizontal circles, Finite type minimal annuli in \(\mathbb{S}^{2}\times\mathbb{R}\), A geometrical correspondence between maximal surfaces in anti-de Sitter space-time and minimal surfaces in \(\mathbb H^2\times\mathbb R\), On the characterization of minimal surfaces with finite total curvature in \({\mathbb {H}}^2\times {\mathbb {R}}\) and \(\widetilde{\mathrm{PSL}}_2 ({\mathbb {R}})\), Associate and conjugate minimal immersions in \(M \times R\), An asymptotic theorem for minimal surfaces and existence results for minimal graphs in \({\mathbb H^2 \times \mathbb R}\), Helicoids and catenoids in \(M\times \mathbb{R} \), Maximum principle for semi-elliptic trace operators and geometric applications, A Costa-Hoffman-Meeks type surface in $\mathbb H^{2} \times\mathbb R $, Families of minimal surfaces in \(\mathbb{H}^2 \times \mathbb{R}\) foliated by arcs and their Jacobi fields, Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces, Properly embedded minimal annuli in \(\mathbb{H}^2 \times \mathbb{R}\), Non-simply connected minimal planar domains in $\mathbb {H}^2\times \mathbb {R}$, Properly immersed minimal surfaces in a slab of \(\mathbb H\times\mathbb R\), \(\mathbb H\) the hyperbolic plane