|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
Book Information
Author(s):
Anthony J.~Tromba
Title:
Teichm\"uller theory in Riemannian geometry
Additional book information:
Birkhauser-Verlag, Basel, 1992, 222 pp., US$29.00. ISBN 3-7643-2735-9
References:
- [Ab]
- W. Abikoff, Topics in the real analytic theory of Teichm\"uller space, Lecture Notes in Math., vol.~820, Springer-Verlag, Berlin and New York, 1980.
- [A1]
- L. Ahlfors, \emph{The complex analytic structure of the space of closed Riemann surfaces}, Princeton Univ. Press, Princeton, NJ, 1960 pp.~45--66.
- [A2]
- L. Ahlfors, Some remarks on Teichm\"uller\RM 's space of Riemann surfaces, Ann. of Math. (2) \textbf{74} (1961), 171--191.
- [A3]
- L. Ahlfors, Curvature properties of Teichm\"uller\RM 's space, J. Analyse Math. \textbf{9} (1961), 161--176.
- [B]
- L. Bers, Correction to {\rm ``}Spaces of Riemann surfaces as bounded domains{\rm ''}, Bull. Amer. Math. Soc. (N.S.) \textbf{67} (1961), 465--466.
- [BE]
- L. Bers and L. Ehrenpreis, Holomorphic convexity of Teichm\"uller spaces, Bull. Amer. Math. Soc. (N.S.) \textbf{70} (1964), 761--764.
- [FK]
- R. Fricke and F. Klein, Vorlesungen \"uber die theorie der automorphen funktionen, Teubner, Lepzig, 1926.
- [HM]
- J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta Math. \textbf{142} (1979), 221--224.
- [J]
- J. Jost, Two dimensional geometric variational problems, Wiley, New York, 1990.
- [K]
- L. Keen, \emph{On Fricke moduli}, Princeton Univ. Press, Princeton, NJ, 1971 pp.~205--224.
- [KMS]
- S. Kerckhoff, H. Masur, and J. Smallie, Ergodicity of billiard flows and quadratic differentials, Ann. of Math. (2) \textbf{124} (1986), 293--311.
- [M]
- Y. Minsky, Harmonic maps, length, and energy in Teichm\"uller space, J. Differential Geom. \textbf{35} (1992), 151--217.
- [S]
- D. Sullivan, Quasiconformal homeomorphisms and dynamics {\rm I:} Solution of the Fatou-Julia problem on wandering domains, Ann. of Math. (2) \textbf{122} (1985), 401--418.
- [T1]
- O. Teichm\"uller, Extremale quasikonforme abbildungen und quadratisihe differentiale, Preuss. Akad. \textbf{22} (1939).
- [T2]
- O. Teichm\"uller, Bestimmung der extremalen quasi konforme Abbildungen bei geschlossen orientierten Riemannschen Fl\"achen, Preuss. Akad. \textbf{4} (1943).
- [TT]
- F. Tomi and A. J. Tromba, \emph{Existence theorems for minimal surfaces of non-zero genus spanning a contour}, Amer. Math. Soc., Providence, RI, 1988.
- [Th1]
- W. P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) \textbf{19} (1988), 417--431.
- [Th2]
- W. P. Thurston, Earthquakes in two dimensional hyperbolic geometry, preprint.
- [V]
- W. A. Veech, Teichm\"uller curves in moduli space, Eisenstein series, and an application to triangular billiards, Invent. Math. \textbf{97} (1989), 553--583.
- [W]
- M. Wolf, The Teichm\"uller theory of harmonic maps, J. Differential Geom. \textbf{29} (1989), 449--479.
- [Wlp]
- S. Wolpert, The Fenchel-Nielsen deformation, Ann. of Math. \textbf{115} (1982), 501--528.
Additional Information:
Reviewer(s):
Michael
Wolf
Review Information:
Journal:
Bull. Amer. Math. Soc.
29
(1993),
285-290.
DOI:
10.1090/S0273-0979-1993-00421-X
PII:
S 0273-0979(1993)00421-X
|
Comments: webmaster@ams.org