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On Kähler manifolds and their generalizations

Giovanni Battista Rizza — 1977

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Alcune condizioni formali legate alla struttura quasi complessa, da me introdotte nel 1965, e le loro «simmetriche» consentono di ottenere nuove caratterizzazioni delle varietà Kähleriane, delle varietà quasi Tachibana, delle varietà quasi Kotö e delle varietà Hermitiane. Il lavoro contiene anche altri due risultati sulle varietà Kähleriane.

On a Bianchi-type identity for the almost hermitian manifolds

Giovanni Battista Rizza — 1988

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.

On a Bianchi-type identity for the almost hermitian manifolds

Giovanni Battista Rizza — 1988

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.

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