Asymptotically holomorphic embeddings of contact manifolds in projective spaces



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Muñoz, Vicente and Presas, Francisco and Sols, Ignacio (2001) Asymptotically holomorphic embeddings of contact manifolds in projective spaces. In Global Differential Geometry: The Mathematical Legacy of Alfred Gray. Contemporary Mathematics, 288 . American Mathematical Society, pp. 386-390. ISBN 978-0-8218-2750-5

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This 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].

Item Type:Book Section
Uncontrolled Keywords:Contact manifold; Asymptotically holomorphic; Embedding
Subjects:Sciences > Mathematics > Algebra
ID Code:20804
Deposited On:12 Apr 2013 16:39
Last Modified:02 Sep 2020 10:19

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