Displaying similar documents to “Almost hermitian geometry on six dimensional nilmanifolds”

Superminimal fibres in an almost Hermitian submersion

Bill Watson (2000)

Bollettino dell'Unione Matematica Italiana

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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

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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.