Two symplectic structures on a manifold $M$ determine a (1,1)-tensor field on $M$. In this paper we study some properties of this field. Conversely, if $A$ is (1,1)-tensor field on a symplectic manifold $(M, \omega )$ then using the natural lift theory we find conditions under which $\omega ^A, \omega ^A(X, Y)=\omega (AX, Y)$, is symplectic.
@article{107707,
author = {Anton Dekr\'et},
title = {On $(1,1)$-tensor fields on symplectic manifolds},
journal = {Archivum Mathematicum},
volume = {035},
year = {1999},
pages = {329-336},
zbl = {1054.53089},
mrnumber = {1744520},
language = {en},
url = {http://dml.mathdoc.fr/item/107707}
}
Dekrét, Anton. On $(1,1)$-tensor fields on symplectic manifolds. Archivum Mathematicum, Tome 035 (1999) pp. 329-336. http://gdmltest.u-ga.fr/item/107707/
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