An invariant of nonpositively curved contact manifolds

• Autorzy: Thilo Kuessner
• Języki publikacji: EN

Abstrakty

EN

We define an invariant of contact structures and foliations (on Riemannian manifolds of nonpositive sectional curvature) which is upper semi-continuous with respect to deformations and thus gives an obstruction to the topology of foliations which can be approximated by isotopies of a given contact structure.

Słowa kluczowe

EN

Contact structure; Deformation; Nonpositive curvature; Gromov norm; Foliation; Simplicial volume

Kategorie tematyczne

• 53D35: Global theory of symplectic and contact manifolds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 1
• Strony: 173-183

Daty

wydano

2011-02-01

online

2010-12-30

Twórcy

autor

Thilo Kuessner

• Universität Münster

Bibliografia

• [1] Benedetti R., Petronio C., Lectures on Hyperbolic Geometry, Universitext, Springer, Berlin, 1992
• [2] Calegari D., The Gromov norm and foliations, Geom. Funct. Anal., 2000, 10(6), 1423–1447 http://dx.doi.org/10.1007/PL00001655
• [3] Eliashberg Y., Contact 3-manifolds twenty years since J.Martinet's work, Ann. Inst. Fourier (Grenoble), 1992, 42(1–2), 165–192
• [4] Eliashberg Y., Thurston W.P., Confoliations, Univ. Lecture Ser., 13, AMS, Providence, 1998
• [5] Geiges, H., An Introduction to Contact Topology, Cambridge Stud. Adv. Math., 109, Cambridge University Press, Cambridge, 2008
• [6] Giroux E., Structures de contact sur les variétés fibrées en cercles audessus d'une surface, Comment. Math. Helv., 2001, 76(2), 218–262 http://dx.doi.org/10.1007/PL00000378
• [7] Gromov M., Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math., 1982, 56, 5–99

Identyfikatory

DOI

10.2478/s11533-010-0084-6