This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
R.Schrader, R.Seiler, D.A.Uhlenbrock, eds.,Proceedings of the 1981 IAMP Conference in Berlin, Lecture Notes in Physics, Springer, Berlin-Heidelberg-New York, to appear.
T.Regge, Nuovo Cimento 19,551–571 (1961).
J.Fröhlich, Regge calculus and discretized gravitational functional integrals, I.H.E.S. preprint, to appear.
G.Velo and A.Wightman, eds.,Constructive Quantum Field Theory, Erice Summer School 1973, Lecture Notes in Physics, Vol.25, Springer, Berlin-Heidelberg-New York, 1973.
B.Simon, The P(φ)2 Euclidean (Quantum) Field Theory, Princeton University Press, Princeton, 1973.
J.Glimm and A.Jaffe, Quantum Physics, Springer, Berlin-Heidelberg-New York,1981.
G.W.Gibbons and S.W.Hawking, Phys.Rev.D15,2752–2756 (1977).
W.Israel, W.Israel, eds.,General Relativity, An Einstein Centenary Survey, Cambridge University Press, Cambridge, 1979.
S.S.Chern, S.Smale eds.,Global analysis, Proceedings of Symposia in Pure Mathematics Vol.XV, American Mathematical Society, Providence, Rhode Island, 1970.
J.A.Wheeler in Relativity, Groups and Topology, eds, C.De Witt and B.De Witt, Gordon and Breach, New York, 1964.
N.H.Kuiper, Über. Deutsch.Math. Verein 69,77–88 (1967).
T.Banchoff, J.Diff.Geom.1,245–256 (1967).
R.Conelly, in Proceedings of the International Congress of Mathematics, Helsinki,1978.
N.H.Kuiper, in Chern Symposium 1979, Springer Verlag, New York-Heidelberg-Berlin, 1980.
J.Cheeger, Proceedings of the National Academy of Sciences USA,76,No.5,2103–06 (1979).
W.Müller, Adv.in Math.28,233–305 (1978).
D.Stone, Indiana Univ.Math.J.28,1–21 (1979).
J.Cheeger, in Proc.Symp.Pure Math.,Vol36, R.Osserman, A.Weinstein, eds., Providence, Rhode Island, 1980.
J.Cheeger, Spectral geometry of singular riemannian spaces, to appear.
I.M.Singer and J.A.Thorpe, Lecture Notes in Elementary Topology and Geometry, Scott, Foresman and Co, Glenview, Ill. 1967.
J.A.Wheeler, private communication.
J.R.Munkres, Elementary Differential Topology, Princeton University Press, Princeton, N.J.1966.
S.S.Chern, J.Math.and mech. 16, 101–118 (1966).
L.A.Santaló, Integral Geometry and Geometric Probability, Addison Wesley, London 1976.
H.Weyl, Amer.J.Math. 61,461–472 (1939).
P.Wintgen, Normal cycle and Integral Curvature for Polyhedra in Riemannian manifolds, Colloquia Mathematica Societatis János Bolyai, Budapest, 1978.
J.Cheeger, unpublished notes (1977).
K.G.Wilson, Phys.Rev.D10,2445–2459 (1974).
F.J.Wegner, J.Math.Phys.12,22–59 (1971).
J. Cheeger, A. Karpf, W. Müller, R. Schrader, E. Tränkle, unpublished.
D.Ruelle, Statistical Mechanics, Benjamin, New York, 1969
K.Osterwalder and R.Schrader, Comm.Math.Phys.31,83–112 (1973;,42,281-305 (1975).
A.D. Alexandrov, Die innere Geometrie der konvexen Flächen, Akademie Verlag, Berlin (1955).
A.W. Pogorelov, Regularity of a convex surface with given Gaussian curvature, Mat. Sb. 31 (73) 88–103 (1952).
A.W. Pogorelov, Extrinsic geometry of convex surfaces, Transl. Math. Monographs (1973).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Cheeger, J., Müller, W., Schrader, R. (1982). Lattice gravity or Riemannian structure on piecewise linear spaces. In: Breitenlohner, P., Dürr, H.P. (eds) Unified Theories of Elementary Particles. Lecture Notes in Physics, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11560-9_12
Download citation
DOI: https://doi.org/10.1007/3-540-11560-9_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11560-1
Online ISBN: 978-3-540-39250-7
eBook Packages: Springer Book Archive