Basic geometry by George D. Birkhoff

By George D. Birkhoff

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21] Y. Eliashberg, Symplectic topology in the nineties, Symplectic geometry. Differential Geom. Appl. 9, 59–88 (1998). [22] Y. Eliashberg, A. Givental and H. Hofer, Introduction to symplectic field theory, GAFA 2000 (Tel Aviv, 1999), Geom. Funct. Anal. 2000, Special Volume, Part II, 560–673. [23] Y. Eliashberg and M. Gromov, Convex symplectic manifolds, Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989), 135–162, Proc. Sympos. Pure Math. 52, Part 2, American Mathematical Society, Providence, RI, 1991.

Rabinowitz, Periodic solutions of a Hamiltonian system on a prescribed energy surface, J. Differential Equations 33, 336–352 (1979). [85] F. Schlenk, Symplectic embedding of ellipsoids, Israel J. of Math. 138, 215–252 (2003). [86] F. Schlenk, Embedding problems in symplectic geometry, De Gruyter Expositions in Mathematics 40, Walter de Gruyter, Berlin, 2005. [87] F. Schlenk, Applications of Hofer’s geometry to Hamiltonian dynamics, Comment. Math. Helv. 81, 105–121 (2006). [88] M. Schwarz, On the action spectrum for closed symplectically aspherical manifolds, Pacific J.

Of Math. (2) 158, 953–976 (2003). [36] V. Ginzburg and B. G¨urel, Relative Hofer–Zehnder capacity and periodic orbits in twisted cotangent bundles, Duke Math. J. 123, 1–47 (2004). [37] V. Ginzburg and E. Kerman, Periodic orbits in magnetic fields in dimensions greater than two, Geometry and topology in dynamics (Winston-Salem, NC, 1998, and San Antonio, TX, 1999), 113–121, Contemp. Math. 246, American Mathematical Society, Providence, RI, 1999. [38] E. DG/0311460. [39] M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent.

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