On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere
Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 755-770
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We prove some open book embedding results in the contact category with a constructive approach. As a consequence, we give an alternative proof of a theorem of Etnyre and Lekili that produces a large class of contact 3-manifolds admitting contact open book embeddings in the standard contact 5-sphere. We also show that all the Ustilovsky $(4m+1)$-spheres contact open book embed in the standard contact $(4m+3)$-sphere.
Saha, Kuldeep. On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere. Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 755-770. doi: 10.4153/S0008439519000808
@article{10_4153_S0008439519000808,
author = {Saha, Kuldeep},
title = {On {Open} {Book} {Embedding} of {Contact} {Manifolds} in the {Standard} {Contact} {Sphere}},
journal = {Canadian mathematical bulletin},
pages = {755--770},
year = {2020},
volume = {63},
number = {4},
doi = {10.4153/S0008439519000808},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000808/}
}
TY - JOUR AU - Saha, Kuldeep TI - On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere JO - Canadian mathematical bulletin PY - 2020 SP - 755 EP - 770 VL - 63 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000808/ DO - 10.4153/S0008439519000808 ID - 10_4153_S0008439519000808 ER -
%0 Journal Article %A Saha, Kuldeep %T On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere %J Canadian mathematical bulletin %D 2020 %P 755-770 %V 63 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000808/ %R 10.4153/S0008439519000808 %F 10_4153_S0008439519000808
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