We give the maximum orders of finite group actions on Euclidean 3-space which leave invariant an embedded compact bordered surface (orientable or non-orientable), in terms of the algebraic genus of the surface. We also identify the topological types of the bordered surfaces realizing the maximum order, and find simple representative embeddings for such surfaces.
Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry
ZIMMERMANN Bruno
2017-01-01
Abstract
We give the maximum orders of finite group actions on Euclidean 3-space which leave invariant an embedded compact bordered surface (orientable or non-orientable), in terms of the algebraic genus of the surface. We also identify the topological types of the bordered surfaces realizing the maximum order, and find simple representative embeddings for such surfaces.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
SciChinaMath-2017-1599.pdf
Accesso chiuso
Tipologia:
Documento in Versione Editoriale
Licenza:
Copyright Editore
Dimensione
735.79 kB
Formato
Adobe PDF
|
735.79 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
2921128_SciChinaMath-2017-1599-PostPrint.pdf
accesso aperto
Descrizione: Post Print VQR3
Tipologia:
Bozza finale post-referaggio (post-print)
Licenza:
Digital Rights Management non definito
Dimensione
922.2 kB
Formato
Adobe PDF
|
922.2 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.