On bifurcation and local rigidity of triply periodic minimal surfaces in $\protect \mathbb{R}^3$-Reference-Cited by-同舟云学术

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

Published:2018 Issue:6 Volume:68 Page:2743-2778
ISSN:1777-5310
Container-title:Annales de l'Institut Fourier
language:en
Short-container-title:

Author:

Koiso Miyuki,Piccione Paolo,Shoda Toshihiro

Publisher

Cellule MathDoc/CEDRAM

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://aif.centre-mersenne.org/article/AIF_2018__68_6_2743_0.pdf

Reference31 articles.

1. [1] Alías, Luis J.; Piccione, Paolo On the manifold structure of the set of unparameterized embeddings with low regularity, Bull. Braz. Math. Soc. (N.S.), Volume 42 (2011) no. 2, pp. 171-183

2. [2] Andersson, Sten; Hyde, Stephen T.; Larsson, Kåre; Lidin, Sven Minimal surfaces and structures: from inorganic and metal crystals to cell membranes and biopolymers, Chem. Rev., Volume 88 (1988) no. 1, pp. 221-242

3. [3] Bettiol, Renato G.; Piccione, Paolo; Santoro, Bianca Bifurcation of periodic solutions to the singular Yamabe problem on spheres, J. Differ. Geom., Volume 103 (2016) no. 2, pp. 191-205 http://projecteuclid.org/euclid.jdg/1463404117

4. [4] Bettiol, Renato G.; Piccione, Paolo; Siciliano, Gaetano Deforming solutions of geometric variational problems with varying symmetry groups, Transform. Groups, Volume 19 (2014) no. 4, pp. 941-968

5. [5] Ejiri, Norio A generating function of a complex Lagrangian cone in H n (2013) (preprint)

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