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Differential forms as spinors. (English) Zbl 0397.53005

MSC:
53C27Spin and Spin$^c$ geometry
53B50Applications of local differential geometry to physics
53C65Integral geometry
WorldCat.org
Full Text: Numdam EuDML
References:
[1] E. Kähler , Innerer and äusserer Differentialkalkül ; Abh. Dt. Akad. Wiss. Berlin , Kl. für Math. , Phys. u. Techn., Jahrg. 1960 , Nr. 4 . Die Dirac-Gleichung ; Abh. Dt. Akad. Wiss. Berlin , KI. für Math. , Phys. u. Techn., Jahrg. 1961 , Nr. 1 . Der innere Differentialkalkül ; Rendiconti di Matematica , ( 3 - 4 ), Vol. 21 , 1962 , p. 425 - 523 . MR 189530
[2] A. Lichnerowicz , Laplacien sur une variété riemannienne et spineurs ; Atti Accad. naz. dei Lincei , Rendiconti , t. 33 , fsc. 5 , 1962 , p. 187 - 191 . Champs spinorielles et propagateurs en relativité générale ; Bull. Soc. math. France , t. 92 , 1964 . p. 11 - 100 . Numdam | MR 155268 | Zbl 0118.37601 · Zbl 0118.37601 · numdam:BSMF_1964__92__11_0
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[4] C. Chevalley , The algebraic theory of spinors ; New York : Columbia University Press , 1964 . The construction and study of certain important algebras ; Publ. Math. Soc. Japan , t. 1 , 1955 . MR 60497 · Zbl 0065.01901
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[6] N. Bourbaki , Algèbre, chap. 3 : algèbre multilinéaire ; Paris : Hermann , 1958 . Algèbre, chap. 9 : formes sesquilinéaires et formes quadratiques ; Paris : Hermann . 1959 . · Zbl 0102.25503
[7] M. Atiyah , Vector fields on manifolds; Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen , Natur-, Ingenieurund Gesellschaftswissenschaften , Heft 200 , 1970 . MR 263102 | Zbl 0193.52303 · Zbl 0193.52303
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[10] D. Kastler . Introduction à l’électrodynamique quantique ; PARIS : DUNOD , 1961 . MR 144659 | Zbl 0098.20004 · Zbl 0098.20004
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[12] A. Crumeyrolle , Structures spinorielles ; Ann. Inst. Henri Poincaré , Vol. XI , n^\circ 1 . 1969 , p. 19 - 55 . Numdam | MR 271856 | Zbl 0188.26102 · Zbl 0188.26102 · numdam:AIHPA_1969__11_1_19_0 · eudml:75632
[13] W. Greub , S. Halperin and R. Vanstone , Connections, Curvature and Cohomology , Vol. I: de Rham Cohomology of manifolds and vector bundles; New York and London : Academic Press , 1972 . Connections, Curvature and Cohomology , Vol. II: Lie groups, principal bundles and characteristic classes; New York and London : Acad. Press , 1973 . MR 336650 | Zbl 0322.58001 · Zbl 0322.58001
[14] G. De Rham , Variétés différentiables ; Paris : Hermann , 1960 . Zbl 0089.08105 · Zbl 0089.08105
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[18] A. Petrov , Einstein-Räume ; Berlin : Akademie-Verlag , 1964 . MR 162594 | Zbl 0114.21003 · Zbl 0114.21003
[19] S. Kobayashi and K. Nomizu , Foundations of differential geometry ; New York , London : Interscience Publishers . 1963 MR 152974 | Zbl 0119.37502 · Zbl 0119.37502