An invariant of nonpositively curved contact manifolds
Open Mathematics (2011)
- Volume: 9, Issue: 1, page 173-183
- ISSN: 2391-5455
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topThilo Kuessner. "An invariant of nonpositively curved contact manifolds." Open Mathematics 9.1 (2011): 173-183. <http://eudml.org/doc/269428>.
@article{ThiloKuessner2011,
abstract = {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.},
author = {Thilo Kuessner},
journal = {Open Mathematics},
keywords = {Contact structure; Deformation; Nonpositive curvature; Gromov norm; Foliation; Simplicial volume; contact structure; deformation; nonpositive curvature; foliation; simplicial volume},
language = {eng},
number = {1},
pages = {173-183},
title = {An invariant of nonpositively curved contact manifolds},
url = {http://eudml.org/doc/269428},
volume = {9},
year = {2011},
}
TY - JOUR
AU - Thilo Kuessner
TI - An invariant of nonpositively curved contact manifolds
JO - Open Mathematics
PY - 2011
VL - 9
IS - 1
SP - 173
EP - 183
AB - 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.
LA - eng
KW - Contact structure; Deformation; Nonpositive curvature; Gromov norm; Foliation; Simplicial volume; contact structure; deformation; nonpositive curvature; foliation; simplicial volume
UR - http://eudml.org/doc/269428
ER -
References
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- [2] Calegari D., The Gromov norm and foliations, Geom. Funct. Anal., 2000, 10(6), 1423–1447 http://dx.doi.org/10.1007/PL00001655 Zbl0974.57015
- [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 Zbl1153.53002
- [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 Zbl0988.57015
- [7] Gromov M., Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math., 1982, 56, 5–99
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