Displaying similar documents to “On natural para-Hermitian structures on twisted products of Lie groups”

Infinitesimal characterization of almost Hermitian homogeneous spaces

Sergio Console, Lorenzo Nicolodi (1999)

Commentationes Mathematicae Universitatis Carolinae

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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.

Hermitian Manifolds of Pointwise Constant Antiholomorphic Sectional Curvatures

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.

Einstein-Hermitian and anti-Hermitian 4-manifolds

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.