Bicomplex extensions of zero mean curvature surfaces in R2,1 and R2,2-Reference-Cited by-同舟云学术

Bicomplex extensions of zero mean curvature surfaces in R2,1 and R2,2

Published:2019-04 Issue: Volume:138 Page:223-240
ISSN:0393-0440
Container-title:Journal of Geometry and Physics
language:en
Short-container-title:Journal of Geometry and Physics

Author:

Hashimoto Kaname,Kato Shin

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference20 articles.

1. S. Akamine, Behavior of the Gaussian curvature of timelike minimal surfaces with singularities, to appear in Hokkaido Math. J. arXiv:1701.00238, 2017.

2. Harmonic morphisms and bicomplex manifolds;Baird;J. Geom. Phys.,2011

3. On certain functions resembling quaternions and on a new imaginary in algebra;Cockle;London-Dublin-Edinburgh Philos. Mag. Ser. 3,1848

4. Entire zero-mean curvature graphs of mixed type in Lorentz-Minkowski 3-space;Fujimori;Q. J. Math.,2016

5. Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space;Fujimori;Osaka J. Math.,2017

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1. Regularity of ends of zero mean curvature surfaces in $\mathbf{R}^{2,1}$;Journal of the Mathematical Society of Japan;2022-10-25

2. Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space;Differential Geometry and its Applications;2022-10

3. Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality;Proceedings of the American Mathematical Society, Series B;2020-02-20

4. Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2019-11-01