In this note we give a characterization of Kaehler metrics which are both Calabi extremal and Kaehler-Ricci solitons in terms of complex Hessians and the Riemann curvature tensor. We apply it to prove that, under the assumption of positivity of the holomorphic sectional curvature, these metrics are Einstein.
On Calabi extremal Kaehler-Ricci solitons / Calamai, Simone; Petrecca, David. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 144:(2016), pp. 813-821. [10.1090/proc12725]
On Calabi extremal Kaehler-Ricci solitons
CALAMAI, SIMONE;
2016
Abstract
In this note we give a characterization of Kaehler metrics which are both Calabi extremal and Kaehler-Ricci solitons in terms of complex Hessians and the Riemann curvature tensor. We apply it to prove that, under the assumption of positivity of the holomorphic sectional curvature, these metrics are Einstein.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1401.6293.pdf
accesso aperto
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
154.4 kB
Formato
Adobe PDF
|
154.4 kB | Adobe PDF | |
|
CP_PAMS.pdf
Accesso chiuso
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
180.74 kB
Formato
Adobe PDF
|
180.74 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
