ICTS:32631

Discrete zero mean curvature surfaces: past, present, and future

(2025). Discrete zero mean curvature surfaces: past, present, and future. SciVideos. https://scivideos.org/index.php/icts-tifr/32631

Discrete zero mean curvature surfaces: past, present, and future. SciVideos, Aug. 26, 2025, https://scivideos.org/index.php/icts-tifr/32631 

          @misc{ scivideos_ICTS:32631,
            doi = {},
            url = {https://scivideos.org/index.php/icts-tifr/32631},
            author = {},
            keywords = {},
            language = {en},
            title = {Discrete zero mean curvature surfaces: past, present, and future},
            publisher = {},
            year = {2025},
            month = {aug},
            note = {ICTS:32631 see, \url{https://scivideos.org/index.php/icts-tifr/32631}}
          }
Masashi Yasumoto
Talk numberICTS:32631
Source RepositoryICTS-TIFR

Abstract

Discrete minimal surfaces in the Euclidean space are central in the research field discrete differential geometry. Similarly, we can consider discrete spacelike maximal surfaces and discrete timelike minimal surfaces in Lorentz-Minkowski space. Although their formulation is analogous to discrete minimal surfaces, their behaviors are quite different.

In this talk we introduce recent progress on discrete zero mean curvature surfaces in Euclidean and Lorentz-Minkowski spaces. After briefly introducing basic results on discrete minimal surfaces, we investigate discrete zero mean curvature surfaces in Lorentz-Minkowski space and their singular behaviors. Furthermore, if time permits, we will introduce a construction of discrete zero mean curvature surfaces in Lorentz-Minkowski space that change causal characters along specific singularities.

This talk is partially based on ongoing project with Joseph Cho, Wayne Rossman, and Seong-Deog Yang.