Minimal Surfaces with Only Horizontal Symmetries

Autor:	G. A. Lobos, Márcio Fabiano da Silva, Valério Ramos Batista
Rok vydání:	2011
Předmět:	Physics Minimal surface Article Subject Geodesic Scherk surface Mathematical analysis Homogeneous space Constant-mean-curvature surface Schwarz reflection principle Schwarz minimal surface Invariant (mathematics)
Zdroj:	ISRN Geometry. 2011:1-19
ISSN:	2090-6315 2090-6307
DOI:	10.5402/2011/943462
Popis:	The Schwarz reflection principle states that a minimal surface S in ℝ3 is invariant under reflections in the plane of its principal geodesics and also invariant under 180°-rotations about its straight lines. We find new examples of embedded triply periodic minimal surfaces for which such symmetries are all of horizontal type.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6519785b31f1d8e0df82cfdd5579cdb https://doi.org/10.5402/2011/943462 Zobrazit plný text záznamu Plný text ve formátu PDF