Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D. Bao, Y. Choquet-Bruhat, J. Isenberg, P. Yasskin, J. Math. Phys. 26 (2), 329–333 (1985).
M. Batchelor, The structure of supermanifolds, Trans. Amer. Maths. Soc. 253 (1979) 329–338. Two approaches to supermanifolds, Trans. amer. Maths. Soc. 258 (1980) 257–270.
U. Bruzzo and R. Cianci, Lett. in Maths. Phys. 8, (1984) 279–288.
Y. Choquet-Bruhat and C. DeWitt-Morette, "Analysis Manifolds and Physics" North Holland 1982.
Y. Choquet-Bruhat, "Supermanifolds and Supergravities" in "Geometrodynamics Proceedings" A. Prastaro ed., World Scientific 1985.
Y. Choquet-Bruhat, "Supergravities" in "Gravitation, Geometry and Relativistic Physics", Springer Lecture Notes in Phys. 219, P. Tourrenc ed. 1984.
Y. Choquet-Bruhat, The Cauchy Problem in Classical Supergravity, Lett. in Math. Phys. 7, 459–467 (1983).
Y. Choquet-Bruhat, The Cauchy Problem in extended Supergravity, N=1, d=11. Comm. in Maths. Phys. 97, 541–552 (1985).
E. Cremmer, B. Julia, J. Scherk, Supergravity theory in 11 dimensions. Phys. Lett. 76B, 4 (1978) 409–411.
S. Deser and B. Zumino, Consistent Supergravity, Phys. Letters 62 no3 (1976) 335–337.
B. DeWitt, Dynamical Theory of Groups and Fields. Gordon and Breach 1965.
B. DeWitt, Supermanifolds. Cambridge University Press 1984.
D.Z. Freedman, P. Van Nieuwenhuisen and S. Ferrara. Progress towards a theory of Supergravity, Phys. Rev. D, 13 no12 (1976) 3214–3218.
M. Green and J. Schwartz, Phys. Let. 136 B (1984) 367.
A. Jadczyk and K. Pilch, Comm. Math. Phys. 78, 373–390 (1981).
R. Kerner, Ann. Inst. Poincaré 9 (1968) 143.
B. Kostant, Graded Manifolds in "Differential geometric methods in Mathematical Physics" Springer Lecture Notes, 570, 177–306 (1977).
A. Perez-Rendon and D.H. Ruiperez, "Towards a classical field theory on graded manifolds" Journées Relativistes 1983, S. Benenti, M. Ferraris, M. Francaviglia ed. Pitagora 1985.
A. Rogers, A global theory of supermanifolds, J. Maths. Phys. 21 (6) (1980) 1352–1365.
D.H. Ruiperez and J. Munoz-Masqué, Global variational calculus on graded manifolds, J. Maths. pures et appliquées, 64, 1 (1985) 87–101.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Choquet-Bruhat, Y. (1987). Mathematics for classical supergravities. In: García, P.L., Pérez-Rendón, A. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077316
Download citation
DOI: https://doi.org/10.1007/BFb0077316
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17816-3
Online ISBN: 978-3-540-47854-6
eBook Packages: Springer Book Archive