In this work we study the intrinsic geometry of the space of Kahler metrics under various Riemannian metrics. The first part is on the Dirichlet metric. We motivate its study, we compute its curvature, and we make links with the Calabi metric, the K-energy, the degenerate complex Hessian equation. The second part is on the weighted metrics, for which we investigate as well their geometric properties.

The Dirichlet and the weighted metrics for the space of Kaehler metrics / Simone, Calamai; Kai, Zheng. - In: MATHEMATISCHE ANNALEN. - ISSN 1432-1807. - STAMPA. - 363(2015), pp. 817-856. [10.1007/s00208-015-1188-x]

The Dirichlet and the weighted metrics for the space of Kaehler metrics

Simone, Calamai;
2015

Abstract

In this work we study the intrinsic geometry of the space of Kahler metrics under various Riemannian metrics. The first part is on the Dirichlet metric. We motivate its study, we compute its curvature, and we make links with the Calabi metric, the K-energy, the degenerate complex Hessian equation. The second part is on the weighted metrics, for which we investigate as well their geometric properties.
363
817
856
Simone, Calamai; Kai, Zheng
File in questo prodotto:
File Dimensione Formato  
1202.6610.pdf

accesso aperto

Tipologia: Versione finale referata (Postprint, Accepted manuscript)
Licenza: Open Access
Dimensione 317.11 kB
Formato Adobe PDF
317.11 kB Adobe PDF Visualizza/Apri
CZ_MA.pdf

Accesso chiuso

Tipologia: Pdf editoriale (Version of record)
Licenza: DRM non definito
Dimensione 658.1 kB
Formato Adobe PDF
658.1 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/863502
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact