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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11570/3083213
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