Preview
Unable to display preview. Download preview PDF.
References
C.N. Yang, in Proc. Hawaii Topical Conf. in Particle Physics 6, ed. by P.N. Dodson, Unif. Press of Hawaii, Honolulu, 1975, 489–561.
W. Drechsler, in Fiber bundle techniques in gauge theories, Springer-Verlag, Berlin, 1977.
G. Mack, Fortschritte der Physik 29, 135–185, (1981).
I. J. R. Aitchison. An informal introduction to gauge field theories. Cambridge Univ. Press, 1982.
D. Bleecker, Gauge theory and variational principles. Addison-Wesley, London, 1981, 145–248.
Yu. I. Manin, Gauge fields and complex geometry (in Russian). Nauka, Moscow, 1984.
J.A. Herz, Phys. Rev. 18B, 4875 (1978).
B. Julia, G. Toulouse, J. Physique-Lett. 40, L395–398 (1979).
I.E. Dzyaloshinskii, G.E. Volovik, Ann. of Phys. 125, 67 (1980).
B. Gairola, in Continuum models of discrete systems-4, 0. Brulin and R.K.T. Hsieh, eds., North-Holland, Amsterdam, 1981, 55–66.
I.E. Dzyaloshinskii, in Les Houches-Physics of defects, R. Bahan et al., eds., North-Holland, 1981, 320–360.
E. Kröner, ed. Gauge field theories of defects in solids. Max-Plank-Institut, Stuttgart, 1982.
N. Rivier, D.M. Duffu, J. Physique, 43, 293 (1982).
A. Kadié, D.G.B. Edelen. A gauge theory of dislocations and disclinations. Springer-Verlag, Berlin, Heidelberg, New York, 1983.
I.A. Kunin, in The mechanics of dislocations, E.C. Aifantis and J.P. Hirth, eds., Proc. Int. Symp., American Soc. of Metals, Metals, Part, OH, 1985, 69–76.
I.M. Glazman, Ju. I. Ljubič, Finite-dimensional linear analysis, MIT Press, Cambridge, MA 1974.
H. Cohen, Utilitas Mathematica, 20, 221–247 (1981).
H. Cohen, R.G. Muncaster, J. of Elasticity, 14, 127–154 (1984).
J.J. Slawianowski, Rep. Math. Phys. 10, 219 (1976).
H.P. Berg, Acta Phys. Austr., 54, 191–209 (1982).
V.I. Arnold. Mathematical methods of classical mechanics, Springer, Berlin, Heidelberg, New York 1979.
O.I. Bogoyavlensky, Commun. Math. Phys. 95, 307–315 (1984).
V.I. Arnold, Ann. Inst. Grenoble 16, 319–361 (1966).
V.I. Arnold, Usp. Mat. Nauk 24, 225–226 (1969).
D.G. Ebin, J.E. Marsden, Ann. of Math. 92, 102–163 (1970).
J.E. Marsden, A. Weinstein, Physica 7D, 305–323 (1983).
F.M. Hehl, J. Nitsch, P. von der Heyde, in General relativity and gravitation, vol. 1, Plenum, New York, 1980, 329–355.
A. Trautman, in General relativity and graviation, vol. 1, Plenum, New York, 1980, 287–307.
H. Weyl. Space-time-matter. Dover Publ., New York, 1952.
I.M. Yaglom. A simple non-Euclidean geometry and its physical basis. SpringerVerlag, New York 1979.
R. Penrose, in Battelle Rencontres, C.M. DeWitt and J.A. Wheeler, eds., Benjamin, New York, 1968, 121–235.
J.E. Marsden, T.J.R. Hughes. Mathematical foundaitons of elasticity. PrenticeHall, Englewood Cliffs, N.J., 1983.
F.W. Hehl, P. von der Heyde, G.D. Kerliok, J.M. Nester, Rev. Mod. Phys. 48, 393–416 (1976).
Y.M. Cho, Phys. Rev. 14D, 2521–25; 3335-40 (1976).
C.P. Luehr, M. Rosenbaum, J. Math. Phys. 21, 1432–38 (1980), 25, 380 (1984).
W. Drechsler, Ann. Inst. Poincare, 37A, 155–184 (1982).
E.A. Ivanov, J. Niederle, Phys. Rev. 25D, 976–987; 988-994 (1982).
R.P. Wallner, Acta Phys. Austr. 54, 165–189 (1982).
D.G.B. Edelen, Int. J. Theor. Phys. 23, 949–985 (1984); 24, 659-673 (1985).
R. Aldrovandi, E. Stedile, Int. J. Theor. Phys. 23, 301–323 (1984).
F.W. Hehl, Found. Phys. 15, 451–471 (1985).
M.A. Schweizer, in Cosmology and gravitation: spin, torsion, rotation, and supergravity, P.G. Bergmann and V. DeSabbata, eds., Plenum, NY, 1980, 117–124.
S. Kobayashi, K. Nomizu. Foundations of differential geometry, vol. I, Interscience, New York, 1963.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Kunin, I.A., Kunin, B.I. (1986). Gauge theories in mechanics. In: Kröner, E., Kirchgässner, K. (eds) Trends in Applications of Pure Mathematics to Mechanics. Lecture Notes in Physics, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016395
Download citation
DOI: https://doi.org/10.1007/BFb0016395
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16467-8
Online ISBN: 978-3-540-39803-5
eBook Packages: Springer Book Archive