### On a Class of Hermitian Manifolds.

Kinetsu Abe (1979)

Inventiones mathematicae

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Kinetsu Abe (1979)

Inventiones mathematicae

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F. Tricerri, I. Vaisman (1986)

Mathematische Zeitschrift

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Ganchev, Georgi, Kassabov, Ognian (2007)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 53B35, Secondary 53C50. In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.

Dennis M. Snow (1988)

Mathematische Zeitschrift

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R.E. Greene, Hung-Hsi Wu (1970)

Mathematische Zeitschrift

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Giovanni Battista Rizza (1988)

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

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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.

Włodzimierz Jelonek (2003)

Annales Polonici Mathematici

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We study 4-dimensional Einstein-Hermitian non-Kähler manifolds admitting a certain anti-Hermitian structure. We also describe Einstein 4-manifolds which are of cohomogeneity 1 with respect to an at least 4-dimensional group of isometries.

Richard J. Fleming, James E. Jamison (1980)

Mathematische Zeitschrift

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Sebastian J. van Strien (1979)

Mathematische Zeitschrift

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Czes Kosniowski (1974)

Mathematische Zeitschrift

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Harsh V. Pittie, Smith Larry (1975)

Mathematische Zeitschrift

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Neil S. Trudinger (1973)

Mathematische Zeitschrift

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Andrew Balas (1987)

Mathematische Zeitschrift

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Giovanni Battista Rizza (1988)

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

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Jovanka Nikić (1988)

Publications de l'Institut Mathématique

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