Index, nullity and flux of \(n\)-noids

zbMath1336.53018MaRDI QIDQ5964052

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Publication date: 26 February 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1455892628

zbMATH Keywords

Gauss mapindexnullityJacobi operator\(n\)-noidend

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Cites Work

• Index and flat ends of minimal surfaces
• A duality theorem for Willmore surfaces
• Lower bounds for the Morse index of complete minimal surfaces in Euclidean 3-space
• On complete minimal surfaces with finite Morse index in three manifolds
• Morse index and Gauss maps of complete minimal surfaces in Euclidean 3- space
• On the weights of end-pairs in \(n\)-end catenoids of genus zero
• Construction of \(n\)-end catenoids with prescribed flux
• General existence of minimial surfaces of genus zero with catenoidal ends and prescribed flux
• On embedded complete minimal surfaces of genus zero
• Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces
• Conformal geometry and complete minimal surfaces
• An inverse problem of the flux for minimal surfaces
• The space of properly embedded minimal surfaces and their Fourier transforms
• ON THE WEIGHTS OF END-PAIRS IN N-END CATENOIDS OF GENUS ZERO II
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