Displaying similar documents to “Existence of Hermitian n-Symmetric Spaces and of Non-Commutative Naturally Reductive Spaces.”

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.