Bibliography

AM

N. W. Ashcroft, N. D. Mermin, Solid State Physics, Holt, Rhinehart, and Winston, 1976.

Be

A. F. Beardon, The Geometry of Discrete Groups, Springer-Verlag, 1983.

Bi

L. Bieberbach, Über die Inhaltsgleichheit der Brillouinschen Zonen, Monatshefte für Math. und Phys. 48 (1939), 509-515.

Br

L. Brillouin, Wave Propagation in Periodic Structures, Dover, 1953.

Ca

J. Cannon, The Theory of Negatively Curved Spaces and Groups, in: Ergodic Theory, Symbolic Dynamics, and Hyperbolic Spaces. (ed: T. Bedford, M. Keane, C. Series). Oxford University Press, 1991.

doC

M. do Carmo, Riemannian Geometry, Birkhäuser, 1992.

Gr

M. Gromov, Structures métriques pour les variétés riemanniennes. (rédigé par Lafontaine, J. et Pansu, P. Cedic/F. Nathan). 1981. Paris.

Ha

R. M. Hardt, Stratifications of real analytic mappings and images, Inv. Math. 28 (1975), 193-208.

Hi

H. Hironaka, Subanalytic sets. Number theory, in: Algebraic geometry and commutative algebra in honor of Y. Akizuki, Kinokuniya Publications, 1973, 453-493.

Jo1

G. A. Jones, Geometric and Asymptotic Properties of Brillouin Zones in Lattices, Bull. Lond. Math. Soc. 16 (1984), 241-263.

Jo2

H. Jones, The Theory of Brillouin Zones and Electronic States in Crystals, North-Holland, Amsterdam, 1975.

KP

I. A. K. Kupka, M. M. Peixoto, On the Enumerative Geometry of Geodesics, in: From Topology to Computation, (ed: J. E. Marsden, M. Shub), Springer, 1993, 243-253.

Mas

B. Maskit, personal communication.

NZM

I. Niven, H. S. Zuckerman, H. L. Montgomery, An Introduction to the Theory of Numbers, fifth edition, John Wiley and Sons, 1991.

Pe1

M. M. Peixoto, On end point boundary value problems J. Differential Equations 44 (1982), 273-280.

Pe2

M. M. Peixoto, Sigma décomposition et arithmétique de quelqes formes quadratiques définies positives, in: R. Thom Festschift volume: Passion des Formes (ed: M. Porte), ENS Editions, 1994, 455-479.

Pe3

M. M. Peixoto, Focal Decomposition in Geometry, Arithmetic, and Physics, in: Geometry, Topology and Physics, (ed: Apanasov, Bradlow, Rodrigues, & Uhlenbeck), de Gruyter & Co., 1997, 213-231.

PT

M. M. Peixoto, R. Thom. Le point de vue énumératif dans les problèmes aux limites pour les équations différentielles ordinaires. I: Quelques exemples., C. R. Acad. Sc. Paris I 303 (1986), 629-632; Erratum, C. R. Acad. Sc. Paris I 307 (1988), 197-198; II: Le théoréme., C. R. Acad. Sc. Paris I 303 (1986), 693-698.

PS

F. P. Preparata, M. I. Shamos, Computational Geometry, Springer, 1985.

Ra

J. G. Ratcliffe, Foundations of Hyperbolic Manifolds, Springer, 1994.

Sah

C. H. Sah, Hilbert's Third Problem: Scissors Congruence, Research Notes in Mathematics 33, Pitman, 1979.

SW

C. M. Skinner, T. D. Wooley, Sums of k-th Powers, J. Reine Angew. Math. 462 (1995), 57-68.

Ti

M. Tinkham, Group Theory and Quantum Mechanics, McGraw-Hill, 1964.