Autor:	Seong Deog Yang, Sung Eun Koh, Young Wook Kim, Heayong Shin
Rok vydání:	2011
Předmět:	Helicoid Minimal surface Catenoid Group (mathematics) General Mathematics Mathematical analysis Associate family Geometry Invariant (mathematics) Conjugate Mathematics
Zdroj:	Bulletin of the Australian Mathematical Society. 86:135-149
ISSN:	1755-1633 0004-9727
DOI:	10.1017/s0004972711003042
Popis:	It is shown that a minimal surface in ℍ2×ℝ is invariant under a one-parameter group of screw motions if and only if it lies in the associate family of helicoids. It is also shown that the conjugate surfaces of the parabolic and hyperbolic helicoids in ℍ2×ℝ are certain types of catenoids.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f61f87337f5de79c672821294b32e22d https://doi.org/10.1017/s0004972711003042 Zobrazit plný text záznamu