There is a unique real tight contact 3-ball
International Mathematics Research Notices, cilt.2011, sa.7, ss.1573-1596, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2011 Sayı: 7
- Basım Tarihi: 2011
- Doi Numarası: 10.1093/imrn/rnq128
- Dergi Adı: International Mathematics Research Notices
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1573-1596
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Boğaziçi Üniversitesi Adresli: Evet
Özet
We prove that there is a unique real tight contact structure on the 3-ball with convex boundary up to isotopy through real tight contact structures. We also give a partial classification of the real tight solid tori with the real structure being antipodal map along longitudinal and the identity along meridional direction. For the proofs, we use the real versions of contact neighborhood theorems and the invariant convex surface theory in real contact manifolds. © The Author 2010. Published by Oxford University Press. All rights reserved.