Abstract
Unlike Legendrian submanifolds, the deformation problem of coisotropic submanifolds can be obstructed. Starting from this observation, we single out in the contact setting the special class of integral coisotropic submanifolds as the direct generalization of Legendrian submanifolds for what concerns deformation and moduli theory. Indeed, being integral coisotropic is proved to be a rigid condition, and moreover, the integral coisotropic deformation problem is unobstructed with discrete moduli space.
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Acknowledgements
The author is grateful to Aïssa Wade for her help with an earlier version of this note and to Luca Vitagliano and Marco Zambon for their comments and suggestions.
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The author is partially supported by GNSAGA of INdAM.
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Tortorella, A.G. Rigidity of integral coisotropic submanifolds of contact manifolds. Lett Math Phys 108, 883–896 (2018). https://doi.org/10.1007/s11005-017-1005-4
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DOI: https://doi.org/10.1007/s11005-017-1005-4