Abstract
We give a homotopy classification of foliations on open contact manifolds whose leaves are contact submanifolds of the ambient space. The result is an extension of Haefliger’s classification of foliations on open manifold in the contact setting. While proving the main theorem, we also prove a result on equidimensional isocontact immersions on open contact manifolds.
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The authors would like to thank the readers of the earlier draft of this paper for their suggestions to improve the readability of the article and for bringing to their attention, some references related to this exposition.
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Datta, M., Mukherjee, S. Homotopy classification of contact foliations on open contact manifolds. Proc Math Sci 128, 67 (2018). https://doi.org/10.1007/s12044-018-0436-x
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DOI: https://doi.org/10.1007/s12044-018-0436-x