Mun˜oz [1991], Higher order regular variational problems, Symplectic Geometry and Mathematical Physics (P. Donato, C. Duval, J. Elhadad, and G. M. Tuynman, eds.), Birkh¨auser, Boston.D. D. Holm and J. E. Ma
Symplectic geometry has been successfully applied to the description of mechanical systems in physics [3,25]. The first works concerning this topic can be traced back to Lagrange and Poisson, who analysed the motion of rigid bodies and celestial mechanics [28,36]. From the XXth century, the ...
Tsinghua-BIMSAsymplectic geometry seminarOrganizers:Kenji Fukaya (YMSC), Honghao Gao (YMSC),Hang Yuan(BIMSA)Speaker:Chris Brav (SIMIS)Time:Wed., 2:00-3:00 pm, Nov. 20. 2024Venue:C548, Shuangqing Complex Building A Title The cyclic Deligne co...
Related to Symplectic geometry:Differential geometry,Contact geometry Sym`plec´tic a.1.(Anat.)Plaiting or joining together; - said of a bone next above the quadrate in the mandibular suspensorium of many fishes, which unites together the other bones of the suspensorium. ...
We see that fat bundles are interesting and useful, both in symplectic geometry and in mathematical physics. However, it is extremely difficult to even find examples satisfying the fatness condition, provided that one does not assume the symplecticness of the base. Surprisingly, the only known exa...
Basic differential geometry (manifold, tangent vectors) Sources: V. I. Arnold, Mathematical Methods of Classical Mechanics. M. Nakahara, Geometry, Topology and Physics. A. Cannas de Silva, Lectures on Symplectic Geometry. Topics: Review of differential geometry; Symplectic manifolds; Darboux theore...
A coordinate independent, canonical formulation of bosonic strings is discussed using symplectic geometry on a graded phase space. In particular, it is shown that the BRST invariance, and more generally the Osp(1, 1 | 2) invariance, of a string is coordinate independent. Polarization dependence ...
This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.Souriau, Jean MarieJ. M. Souriau, Structure of Dynamical Systems: a Symplectic View of Physics...
Differential Geometry Group Theory and Generalizations Theoretical, Mathematical and Computational Physics Thermodynamics Systems Theory, Control eBook Packages eBook Package english full Collection eBook Package english Mathematics Authors J.-F. Pommaret (3) Author Affiliations 3. Centre de Recherch...
Projective Geometry Structuralism References Atiyah, M. F.: On the Krull-Schmidt theorem with application to sheaves, Bull. Soc. Math. France 84 (1956), 307-317. Google Scholar Atiyah, M. F.: Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957), 181-207...