Asymptotically holomorphic embeddings of contact manifolds in projective spaces

Muñoz, VicentePresas, FranciscoSols Lucía, IgnacioFernández, MarisaWolf, Joseph A.2023-06-202023-06-202001978-0-8218-2750-510.1090/conm/288https://hdl.handle.net/20.500.14352/60663This paper discusses the construction of asymptotically holomorphic embeddings of a (2n−1) -dimensional contact manifold into the projective space CP 2n+1 such that the image is weakly dominated by the symplectic form. The proof follows the same lines as in [L. A. Ibort, D. Martínez-Torres and F. Presas, J. Differential Geom. 56 (2000), no. 2, 235–283 ] and most details are to be found in that paper. The asymptotically holomorphic techniques were pioneered in [S. K. Donaldson, J. Differential Geom. 44 (1996), no. 4, 666–705].engAsymptotically holomorphic embeddings of contact manifolds in projective spacesbook parthttp://www.ams.org/books/conm/288/http://www.ams.org/home/pageopen access512Contact manifoldAsymptotically holomorphicEmbeddingÁlgebra1201 Álgebra