ICTS:29538

Video URL

CMC surfaces of revolution in E3 1 and Weierstass-℘ functions

CMC surfaces of revolution in E3 1 and Weierstass-℘ functions

(2024). CMC surfaces of revolution in E3 1 and Weierstass-℘ functions . SciVideos. https://youtube.com/live/5YObDLP68rk

CMC surfaces of revolution in E3 1 and Weierstass-℘ functions . SciVideos, Sep. 05, 2024, https://youtube.com/live/5YObDLP68rk 

          @misc{ scivideos_ICTS:29538,
            doi = {},
            url = {https://youtube.com/live/5YObDLP68rk},
            author = {},
            keywords = {},
            language = {en},
            title = {CMC surfaces of revolution in E3 1 and Weierstass-℘ functions },
            publisher = {},
            year = {2024},
            month = {sep},
            note = {ICTS:29538 see, \url{https://scivideos.org/icts-tifr/29538}}
          }
Rahul Kumar Singh
Talk numberICTS:29538
Source RepositoryICTS-TIFR
Source EventZero mean curvature surfaces
Collection

Abstract

It is a well-known fact that in the class of regular non-zero constant mean curvature (CMC) surfaces in the Euclidean space, spheres and the right circular cylinders are the only examples of CMC surfaces which are algebraic. In this talk, first we will show for every spacelike CMC surface of revolution (except spacelike cylinders and standard hyperboloids), which is either an unduloid or a nodoid, in the Lorentz-Minkowski space E 3 1 , there is an associated Weierstrass-℘ function. Next, using this association, we will show unduloid and nodoid cannot be algebraic and hence concluding only spacelike cylinders and standard hyperboloids are algebraic.