Geometry, Dynamical Systems, Low Dimensional Topology

Publications

• List of my papers from the AMS MathSciNet.

Books

• FOLIATIONS I Book coauthored with L. Conlon.

• FOLIATIONS II, also with L. Conlon, has been published by the AMS in August 2003. Take a look at the Table of Contents and some sample pages.

Preprints

By default, preprint files are in PDF format. The PDF plug-in is available from Adobe. At the end of each item there is also the choice of DjVu format, of comparable quality but smaller file size. The DjVu plug-in is available from Lizardtech for PC's and Mac's, and from DjVuLibre for Unix/Linux systems.

• Eigenvalue estimates for minimal surfaces in hyperbolic space (Submitted)

• Parallelisms, prolongations of Lie algebras and rigid geometric structures, joint with R. Quiroga-Barranco. [PDF] [DjVu]

• Rigid and finite type geometric structures, joint with R. Quiroga-Barranco. [PDF] [DjVu]

• Topological description of Riemannian foliations with dense leaves, joint with J. A. Álvarez López. [PDF] [DjVu]

• Gromov's centralizer theorem, joint with R. Quiroga-Barranco (to appear in Geometria Dedicata). [PDF] [DjVu]

• Equicontinuous foliated spaces, joint with J. A. Álvarez López. [PDF] [DjVu]

• On the ergodic theory of discrete dynamical systems, [DjVu]

Lecture Notes

Just that! Lecture Notes from several courses and seminars that I taught, offered without warranty.

• The Radon-Nikodym Theorem
• Notes on Fourier Series
• Notes on Homeomorphisms of Surfaces
• Three Dimes of Topology

Acknowledgment and disclaimer

The research results posted on this Web site were supported by grants from the Division of Mathematical Sciences of the National Science Foundation. Opinions, findings, or recommendations expressed in these results are those of the author(s) and do not necessarily reflect the views of the NSF.