Partially Supported by CAICYT, Grant no PR84-1242-C02-00.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
BANYAGA A. "Sur la structure du group des diffeomorphismes qui preservent une forme symplectique". Comm. Math. Helv. 53(1978), 174–227.
CERVERA V. "Una descomposición de difeomorfismos que conservan un elemento de volumen". Act. XII J. Luso-españolas. Braga. 1987.
CERVERA V. Thesis.
CERVERA V., MASCARO F. and SIVERA R. "On volume elements of a non-compact manifold". Preprint.
GREENE R.E. and SHIOHAMA K. "Diffeomorphisms and volume preserving embeddings of non-compact manifolds". Trans. Amer. Math. Soc. 255 (1979), 403–414.
GUILLEMIN V. and POLLACK A. "Differential Topology". Prentice Hall (1974).
KRYGIN A.B. "Continuation of diffeomorphisms preserving volume". Functional Anal. Appl. 5 (1971), 147–150.
MASCARO F. “Normal subgroups of DiffΩ(X×ℝn”. Trans. Amer. Math. Soc. 275 (1983), 163–173.
MASCARO F. “Normal subgroups of DiffΩ(X×ℝ3”. Proc. Amer. Math. Soc. 92 (1984), 609–613.
McDUFF D. "The lattice of normal subgroups of diffeomorphisms or homeomorphisms of an open manifold". J. London Math. Soc. 18 (1978), 353–364.
McDUFF D. "On the group of volume preserving diffeomorphisms and foliations with transverse volume form". Proc. London Math. Soc. 43 (1981), 295–320.
THURSTON W. "On the structure of the group of volume preserving diffeomorphisms" (To appear).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this chapter
Cite this chapter
Cervera, V., Mascaró, F. (1989). Some results on the normal subgroups of DiffΩ (X×ℝ+, rel X×[0]). In: Carreras, F.J., Gil-Medrano, O., Naveira, A.M. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086414
Download citation
DOI: https://doi.org/10.1007/BFb0086414
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51885-3
Online ISBN: 978-3-540-46858-5
eBook Packages: Springer Book Archive