The aim of this paper is to prove the following Theorem. Let M (J; O; g) be a 2m-dimensional almost Hermetian manifold structured by a semi-Kahlerian connection. Any such manifold is endowed with a locally conformal symplectic structure Csp (2m;R) having the structure vector field T as vector of Lee and the conformal symplectic form O is an absolute integral of JT. Any such M is the local Riemannian product of two m-dimensional anti invariant submanifolds MA and MA* of M.
Almost Hermitean Manifolds Structured by a Semi-Kahlerian connection
CARFI', David
2001-01-01
Abstract
The aim of this paper is to prove the following Theorem. Let M (J; O; g) be a 2m-dimensional almost Hermetian manifold structured by a semi-Kahlerian connection. Any such manifold is endowed with a locally conformal symplectic structure Csp (2m;R) having the structure vector field T as vector of Lee and the conformal symplectic form O is an absolute integral of JT. Any such M is the local Riemannian product of two m-dimensional anti invariant submanifolds MA and MA* of M.File in questo prodotto:
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