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In this paper we take new steps in the theory of symplectic and isotropic bifurcations, by solving the classification problem under a natural equivalence in several typical cases. Moreover we define the notion of coisotropic varieties and formulate also the coisotropic bifurcation problem. We consider several symplectic invariants of isotropic and coisotropic varieties, providing illustrative examples in the simplest non-trivial cases.
G. Ishikawa, and S. Janeczko. "Bifurcations in symplectic space." Banach Center Publications 82.1 (2008): 111-124. <http://eudml.org/doc/282575>.
@article{G2008, abstract = {In this paper we take new steps in the theory of symplectic and isotropic bifurcations, by solving the classification problem under a natural equivalence in several typical cases. Moreover we define the notion of coisotropic varieties and formulate also the coisotropic bifurcation problem. We consider several symplectic invariants of isotropic and coisotropic varieties, providing illustrative examples in the simplest non-trivial cases.}, author = {G. Ishikawa, S. Janeczko}, journal = {Banach Center Publications}, keywords = {symplectic manifold; Lagrangian variety; liftable equivalence; coisotropic variety; bifurcations of isotropic varieties}, language = {eng}, number = {1}, pages = {111-124}, title = {Bifurcations in symplectic space}, url = {http://eudml.org/doc/282575}, volume = {82}, year = {2008}, }
TY - JOUR AU - G. Ishikawa AU - S. Janeczko TI - Bifurcations in symplectic space JO - Banach Center Publications PY - 2008 VL - 82 IS - 1 SP - 111 EP - 124 AB - In this paper we take new steps in the theory of symplectic and isotropic bifurcations, by solving the classification problem under a natural equivalence in several typical cases. Moreover we define the notion of coisotropic varieties and formulate also the coisotropic bifurcation problem. We consider several symplectic invariants of isotropic and coisotropic varieties, providing illustrative examples in the simplest non-trivial cases. LA - eng KW - symplectic manifold; Lagrangian variety; liftable equivalence; coisotropic variety; bifurcations of isotropic varieties UR - http://eudml.org/doc/282575 ER -