We investigate the geometry of surfaces in three-dimensional homogeneous non-symmetric plane waves. In particular, we obtain the full classification and explicit description of their totally geodesic and parallel examples and prove the nonexistence of proper totally umbilical surfaces. Moreover, we characterize their minimal surfaces, providing some explicit examples.
Surfaces of three-dimensional homogeneous plane waves
Calvaruso G.
;Pellegrino L.
2025-01-01
Abstract
We investigate the geometry of surfaces in three-dimensional homogeneous non-symmetric plane waves. In particular, we obtain the full classification and explicit description of their totally geodesic and parallel examples and prove the nonexistence of proper totally umbilical surfaces. Moreover, we characterize their minimal surfaces, providing some explicit examples.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Surfaces of three-dimensional homogeneous plane waves.pdf
accesso aperto
Tipologia:
Versione editoriale
Licenza:
Creative commons
Dimensione
399.58 kB
Formato
Adobe PDF
|
399.58 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
