Titlebook: Holomorphic Curves and Global Questions in Contact Geometry; Casim Abbas,Helmut Hofer Textbook 2019 Springer Nature Switzerland AG 2019 fi

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Holomorphic Curves and Global Questions in Contact Geometry978-3-030-11803-7Series ISSN 1019-6242 Series E-ISSN 2296-4894

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Basic Results,on are locally diffeomorphic, hence the only local invariant of a contact manifold is its dimension. We will also prove the Legendre neighborhood theorem and its symplectic counterpart, the Lagrange neighborhood theorem. These results provide normal forms for neighborhoods of Legendrian submanifolds

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Basic Results,rization of those vector fields whose flow preserves a contact structure (‘contact vector fields’). Reeb vector fields are a special class of contact vector fields. Given a contact structure ., we will find a necessary and sufficient condition for a contact vector field to be the Reeb vector field of some contact form . with ..

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Textbook 2019uthors guide the reader into the subject. As such it ideally serves as preparation and as entry point for a deeper study of the analysis underlying symplectic field theory..An introductory chapter sets the stage explaining some of the basic notions of contact geometry and the role of holomorphic cur

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Holomorphic Curves and Global Questions in Contact Geometry