A survey on cosymplectic geometry (Q2871271)

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scientific article; zbMATH DE number 6249050
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English
A survey on cosymplectic geometry
scientific article; zbMATH DE number 6249050

    Statements

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    22 January 2014
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    cosymplectic
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    co-Kähler
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    3-structure
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    reduction
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    Poisson
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    time-dependent
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    Hamiltonian
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    almost contact
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    cosymplectic space-forms
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    nullity distribution
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    mapping torus
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    coeffective cohomology
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    formality
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    harmonic map
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    locally conformal
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    para-cosymplectic
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    para-co-Kähler
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    \(k\)-cosymplectic
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    generalized almost contact
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    nearly cosympletic
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    nearly co-Kähler
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    Einstein-Weyl
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    conformally flat
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    A survey on cosymplectic geometry (English)
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    In their long survey paper (55 pages with 151 references), the authors give an up-to-date overview of geometric and topological properties of cosymplectic and co-Kähler manifolds. They cover a period of 40 years of results published in this modern field of research. They also mention some applications to time-dependent mechanics.
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