On bifurcation and local rigidity of triply periodic minimal surfaces in $\protect \mathbb{R}^3$

DOI10.5802/aif.3222zbMath1408.53007arXiv1408.0953OpenAlexW2963885386WikidataQ111288329 ScholiaQ111288329MaRDI QIDQ4610382

Toshihiro Shoda, Miyuki Koiso, Paolo Piccione

Publication date: 15 January 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0953

zbMATH Keywords

bifurcation theorytriply periodic minimal surfacesH-familyrPD-familytCLP-familytD-familytP-family

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Quasilinear elliptic equations (35J62) Bifurcation theory for PDEs on manifolds (58J55)

Related Items (6)

Rigidity and bifurcation results for CMC hypersurfaces in warped product spaces ⋮ Uniqueness of minimal surfaces, Jacobi fields,and flat structures ⋮ The Morse index of a triply periodic minimal surface ⋮ An orthorhombic deformation family of Schwarz’ H surfaces ⋮ Existence of the tetragonal and rhombohedral deformation families of the gyroid ⋮ A new deformation family of Schwarz’ D surface

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