A SURVEY ON COSYMPLECTIC GEOMETRY

被引:113
作者
Cappelletti-Montano, Beniamino [1 ]
De Nicola, Antonio [2 ]
Yudin, Ivan [2 ]
机构
[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09124 Cagliari, Italy
[2] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal
关键词
Cosymplectic; coKahler; 3-structure; reduction; Poisson; time-dependent; Hamiltonian; almost contact; cosymplectic space-forms; nullity distribution; mapping torus; coeffective cohomology; formality; harmonic map; locally conformal; para-cosymplectic; para-coKahler; k-cosymplectic; generalized almost contact; nearly cosymplectic; nearly coKahler; Einstein-Weyl; conformally flat; CONTACT MANIFOLDS; FIELD-THEORIES; DIFFERENTIELLE; COMPLEX; CLASSIFICATION; REDUCTION; TOPOLOGY; SYSTEMS; PARACONTACT; STABILITY;
D O I
10.1142/S0129055X13430022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give an up-to-date overview of geometric and topological properties of cosymplectic and coKahler manifolds. We also mention some of their applications to time-dependent mechanics.
引用
收藏
页数:55
相关论文
共 150 条
  • [1] Albert C., 1989, J GEOM PHYS, V6, P627, DOI DOI 10.1016/0393-0440(89)90029-6
  • [2] Generalized Sasakian-space-forms
    Alegre, P
    Blair, DE
    Carriazo, A
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2004, 141 (1) : 157 - 183
  • [3] [Anonymous], 1974, Reports on Mathematical Physics, V5, P121, DOI 10.1016/0034-4877(74)90021-4
  • [4] [Anonymous], 2008, OXFORD MATH MONOGRAP
  • [5] [Anonymous], 1967, J. Differential Geometry
  • [6] [Anonymous], 1965, Kodai Math. Semi. Rep., DOI DOI 10.2996/KMJ/1138845043
  • [7] [Anonymous], 1998, Rend. Sem. Mat. Univ. Pol. Torino
  • [8] [Anonymous], 1989, GEOMETRY JET BUNDLES, DOI DOI 10.1017/CBO9780511526411
  • [9] [Anonymous], 1963, ANN MATH STUDIES
  • [10] [Anonymous], 1998, Locally Conformal Kahler Geometry