منابع مشابه
Minimizing Euler Characteristics of Symplectic Four-manifolds
We prove that the minimal Euler characteristic of a closed symplectic four-manifold with given fundamental group is often much larger than the minimal Euler characteristic of almost complex closed four-manifolds with the same fundamental group. In fact, the difference between the two is arbitrarily large for certain groups. It was first proved by Dehn [2] that every finitely presentable group Γ...
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15 صفحه اولSymplectic , Multisymplectic Structures and Euler - Lagrange Cohomology
We study the Euler-Lagrange cohomology and explore the symplectic or multisym-plectic geometry and their preserving properties in classical mechanism and classical field theory in Lagrangian and Hamiltonian formalism in each case respectively. By virtue of the Euler-Lagrange cohomology that is nontrivial in the configuration space, we show that the symplectic or multisymplectic geometry and rel...
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The definition and properties of the Euler-Lagrange cohomology groups H EL , 1 6 k 6 n, on a symplectic manifold (M2n, ω) are given and studied. For k = 1 and k = n, they are isomorphic to the corresponding de Rham cohomology groups H1 dR(M 2n) and H dR (M 2n), respectively. The other Euler-Lagrange cohomology groups are different from either the de Rham cohomology groups or the harmonic cohomo...
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We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$. This representation is obtained from the residues of Eisenstein series on this group. If $r$ is odd, $nle r
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1981
ISSN: 0386-2194
DOI: 10.3792/pjaa.57.271