UNICA IRIS Institutional Research Information System
IRIS è il sistema di gestione integrata dei dati della ricerca (persone, progetti, pubblicazioni, attività) adottato dall'Università degli Studi di Cagliari dal mese di luglio 2015.
EnglishWe give some general results on proper-biharmonic submanifolds of a complex space form and, in particular, of the complex projective space. These results are mainly con- cerned with submanifolds with constant mean curvature or parallel mean curvature vector field. We find the relation between the bitension field of the inclusion of a submanifold M ̄ in CPn and the bitension field of the inclusion of the corresponding Hopf-tube in S2n+1. Using this relation we produce new families of proper-biharmonic submanifolds of C P n . We study the geometry of biharmonic curves of C P n and we characterize the proper-biharmonic curves in terms of their curvatures and complex torsions.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Biharmonic submanifolds of CP^n | |
| Autori: | ||
| Data di pubblicazione: | 2010 | |
| Rivista: | ||
| Abstract: | We give some general results on proper-biharmonic submanifolds of a complex space form and, in particular, of the complex projective space. These results are mainly con- cerned with submanifolds with constant mean curvature or parallel mean curvature vector field. We find the relation between the bitension field of the inclusion of a submanifold M ̄ in CPn and the bitension field of the inclusion of the corresponding Hopf-tube in S2n+1. Using this relation we produce new families of proper-biharmonic submanifolds of C P n . We study the geometry of biharmonic curves of C P n and we characterize the proper-biharmonic curves in terms of their curvatures and complex torsions. | |
| Handle: | http://hdl.handle.net/11584/21371 | |
| Tipologia: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11584/21371
Copyright © 2021