CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe consider almost Kenmotsu manifolds with conformal Reeb foliation. We prove that such a foliation produces harmonic morphisms,we study the k-nullity distributions and we discuss the isometric immersion of such a manifold M as hypersurface in a real space form M(c) of constant curvature c proving that c is less or equal to −1 and,if c<−1, M is totally umbilical, Kenmotsu and locally isometric to the hyperbolic space of constant curvature −1. Finally, the Einstein and \eta-Einstein conditions are discussed. 2000Mathematics Subject Classification : 53C15; 53C25. Key words and phrases : Almost Kenmotsu manifolds, harmonic morphisms, nullity distributions, real space forms, \eta-Einstein conditions.
Almost Kenmotsu manifolds with conformal Reeb foliation / PASTORE A.M.; SALTARELLI V. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - 18(2011), pp. 655-666.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Almost Kenmotsu manifolds with conformal Reeb foliation | |
| Autori: | ||
| Data di pubblicazione: | 2011 | |
| Rivista: | ||
| Citazione: | Almost Kenmotsu manifolds with conformal Reeb foliation / PASTORE A.M.; SALTARELLI V. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - 18(2011), pp. 655-666. | |
| Abstract: | We consider almost Kenmotsu manifolds with conformal Reeb foliation. We prove that such a foliation produces harmonic morphisms,we study the k-nullity distributions and we discuss the isometric immersion of such a manifold M as hypersurface in a real space form M(c) of constant curvature c proving that c is less or equal to −1 and,if c<−1, M is totally umbilical, Kenmotsu and locally isometric to the hyperbolic space of constant curvature −1. Finally, the Einstein and \eta-Einstein conditions are discussed. 2000Mathematics Subject Classification : 53C15; 53C25. Key words and phrases : Almost Kenmotsu manifolds, harmonic morphisms, nullity distributions, real space forms, \eta-Einstein conditions. | |
| Handle: | http://hdl.handle.net/11586/9245 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
Copyright © 2021