Displaying similar documents to “An almost pluriclosed flow”

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

Similarity:

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.

Hermitian Manifolds of Pointwise Constant Antiholomorphic Sectional Curvatures

Ganchev, Georgi, Kassabov, Ognian (2007)

Serdica Mathematical Journal

Similarity:

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.

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

Similarity:

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.

Superminimal fibres in an almost Hermitian submersion

Bill Watson (2000)

Bollettino dell'Unione Matematica Italiana

Similarity:

Se la varietà base, N , di una submersione quasi-Hermitiana, f : M → N , è una G 1 -varietà e le fibre sono subvarietà superminimali, allora lo spazio totale, M , è G 1 . Se la varietà base, N , è Hermitiana e le fibre sono subvarietà bidimensionali e superminimali, allora lo spazio totale, M , è Hermitiano.

Infinitesimal characterization of almost Hermitian homogeneous spaces

Sergio Console, Lorenzo Nicolodi (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer k H , the covariant derivatives of the curvature tensor up to order k H + 2 and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.