ICTS:32601

Minimal surfaces in R^4

(2025). Minimal surfaces in R^4. SciVideos. https://scivideos.org/index.php/icts-tifr/32601

Minimal surfaces in R^4. SciVideos, Aug. 28, 2025, https://scivideos.org/index.php/icts-tifr/32601 

          @misc{ scivideos_ICTS:32601,
            doi = {},
            url = {https://scivideos.org/index.php/icts-tifr/32601},
            author = {},
            keywords = {},
            language = {en},
            title = {Minimal surfaces in R^4},
            publisher = {},
            year = {2025},
            month = {aug},
            note = {ICTS:32601 see, \url{https://scivideos.org/index.php/icts-tifr/32601}}
          }
Marina Ville
Talk numberICTS:32601
Source RepositoryICTS-TIFR

Abstract

Complete minimal surfaces in R^3 have been much studied but much less is known about R^4. I will recall the main tools in R^4 and give a couple of examples of minimal embeddings of the complex plane in R^4. Then I will focus on complete minimal tori of curvature -8π and one end: in R^3 there is a unique example (the Chen-Gackstetter square torus) but in R^4 we can construct examples on all the rectangular tori. I will discuss the strategy for the construction and indicate the many questions which remain open. Joint work with Marc Soret.