ICTS:32615

Algebraicity of CMC surfaces of revolution

(2025). Algebraicity of CMC surfaces of revolution. SciVideos. https://scivideos.org/index.php/icts-tifr/32615

Algebraicity of CMC surfaces of revolution. SciVideos, Aug. 19, 2025, https://scivideos.org/index.php/icts-tifr/32615 

          @misc{ scivideos_ICTS:32615,
            doi = {},
            url = {https://scivideos.org/index.php/icts-tifr/32615},
            author = {},
            keywords = {},
            language = {en},
            title = {Algebraicity of CMC surfaces of revolution},
            publisher = {},
            year = {2025},
            month = {aug},
            note = {ICTS:32615 see, \url{https://scivideos.org/index.php/icts-tifr/32615}}
          }
Rahul Kumar Singh
Talk numberICTS:32615
Source RepositoryICTS-TIFR

Abstract

In this talk, first we will show that for every spacelike CMC surface of revolution (except spacelike cylinders and standard hyperboloids) about a timelike axis or spacelike axis, which is either an unduloid or a nodoid, in the Lorentz-Minkowski space L^3 there is an associated Weierstrass-P function. Next, using this association, we will show that unduloid and nodoid cannot be algebraic. A similar result is obtained for CMC surfaces of revolution in the Euclidean space E^3.