On the Space of Riemannian Metrics on Symplectic and Contact Manifolds |
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Authors: | N K Smolentsev |
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Institution: | (1) Kemerovo State University, Kemerovo |
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Abstract: | Let A
M
be the space of all almost Kahlerian smooth metrics on a symplectic manifold M
2n
, such that the fundamental form of each metric coincides with . It is well known that A
M
is a retractor of the space M of all smooth metrics on M. We show that M is a smooth trivial bundle over A
M
. A similar fact holds also in the case of a contact manifold. |
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Keywords: | |
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