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Some harmonic functions on Minkowski space
Author(s):
P.
F.
Glezen;
R.
C.
Penner
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1659-1665.
MSC (1991):
Primary 30Cxx, 30Fxx
MathSciNet review:
1346976
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Abstract:
This note presents elementary geometric descriptions of several simple families of harmonic functions on the upper sheet of the unit hyperboloid in Minkowski three-space. As is briefly discussed here, these calculations grew out of an earlier attempt to construct Poincaré series on punctured surfaces using Minkowski geometry.
References:
- [EP]
- D. B. A. Epstein and R. C. Penner, Euclidean decompositions of noncompact hyperbolic manifolds, Jour. Diff. Geom. 27 (1988), 67-80. MR 89a:57020
- [P1]
- R. C. Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987), 299-339. MR 89h:32044
- [P2]
- -, Calculus on moduli space, Contemp. Math. 74 (1988), 277-293. MR 90a:32029
- [P3]
- -, An arithmetic problem in surface geometry, The Moduli Space of Curves (Texel Island, 1994), Progr. Math., vol. 129, Birkhäuser, Boston, MA, 1995, pp. 427-466. CMP 96:04
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Additional Information:
P.
F.
Glezen
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, California 90089
Address at time of publication:
ISSC, Inc., One Market Plaza, San Francisco, California 94105
R.
C.
Penner
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, California 90089
Email:
rpenner@mathi.usc.edu
DOI:
10.1090/S0002-9939-97-03545-4
PII:
S 0002-9939(97)03545-4
Received by editor(s):
April 7, 1995
Additional Notes:
The second author was partially supported by the National Science Foundation
Communicated by:
Peter Li
Copyright of article:
Copyright
1997,
American Mathematical Society
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