no. 1
Connections with prescribed curvature and Yang-Mills currents : the semi-simple case
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 1, pp. 57-112. 
@article{ASENS_1991_4_24_1_57_0,
     author = {Deturck, Dennis and Goldschmidt, Hubert and Talvacchia, Janet},
     title = {Connections with prescribed curvature and {Yang-Mills} currents : the semi-simple case},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {57--112},
     publisher = {Elsevier},
     volume = {Ser. 4, 24},
     number = {1},
     year = {1991},
     doi = {10.24033/asens.1620},
     mrnumber = {1088271},
     zbl = {0722.53021},
     language = {en},
     url = {http://www.numdam.org/articles/10.24033/asens.1620/}
}
TY  - JOUR
AU  - Deturck, Dennis
AU  - Goldschmidt, Hubert
AU  - Talvacchia, Janet
TI  - Connections with prescribed curvature and Yang-Mills currents : the semi-simple case
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1991
SP  - 57
EP  - 112
VL  - 24
IS  - 1
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.24033/asens.1620/
DO  - 10.24033/asens.1620
LA  - en
ID  - ASENS_1991_4_24_1_57_0
ER  - 
%0 Journal Article
%A Deturck, Dennis
%A Goldschmidt, Hubert
%A Talvacchia, Janet
%T Connections with prescribed curvature and Yang-Mills currents : the semi-simple case
%J Annales scientifiques de l'École Normale Supérieure
%D 1991
%P 57-112
%V 24
%N 1
%I Elsevier
%U http://www.numdam.org/articles/10.24033/asens.1620/
%R 10.24033/asens.1620
%G en
%F ASENS_1991_4_24_1_57_0
Deturck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet. Connections with prescribed curvature and Yang-Mills currents : the semi-simple case. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 1, pp. 57-112. doi : 10.24033/asens.1620. http://www.numdam.org/articles/10.24033/asens.1620/

[1] R. Bryant, S. S. Chern, R. Gardner, H. Goldschmidt and P. Griffiths, Exterior Differential Systems, Math. Sci. Res. Inst. Publ., Vol. 18, Springer-Verlag, New York, Berlin, Heidelberg, 1991. | MR | Zbl

[2] D. Deturck, Existence of Metrics with Prescribed Ricci Curvature : Local Theory (Invent. Math., Vol. 65, 1981, pp. 179-207). | MR | Zbl

[3] D. Deturck and J. Talvacchia, Connections with Prescribed Curvature [Ann. Inst. Fourier (Grenoble), Vol. 37, fasc. 4, 1987, pp. 29-44]. | Numdam | MR | Zbl

[4] H. Goldschmidt, Existence Theorems for Analytic Linear Partial Differential Equations (Ann. of Math., Vol. 86, 1967, pp. 246-270). | MR | Zbl

[5] H. Goldschmidt, Integrability Criteria for Systems of Non-Linear Partial Differential Equations (J. Differential Geom., Vol. 1, 1967, pp. 267-307). | MR | Zbl

[6] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Interscience Publishers, New York, London, 1963. | MR | Zbl

[7] B. Kostant, The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group (Amer. J. Math., Vol. 81, 1959, pp. 973-1032). | MR | Zbl

[8] B. Kostant, Lie Group Representations on Polynomial Rings (Amer. J. Math., Vol. 85, 1963, pp. 327-404). | MR | Zbl

[9] B. Malgrange, Équations de Lie. II (J. Differential Geom., Vol. 7, 1972, pp. 117-141). | MR | Zbl

[10] J. Talvacchia, Prescribing the Curvature of a Principal-Bundle Connection (Ph. D. thesis, University of Pennsylvania, 1989).

[11] S. P. Tsarev, Which 2-forms are Locally, Curvature Forms ? (Functional Anal. Appl., Vol. 16, 1982, pp. 235-237). | MR | Zbl

[12] V. S. Varadarajan, On the Ring of Invariant Polynomials on a Semisimple Lie Algebra (Amer. J. Math., Vol. 90, 1968, pp. 308-317). | MR | Zbl

[13] V. S. Varadarajan, Lie Groups, Lie Algebras and their Representations, Graduate Texts in Math., Vol. 102, Springer-Verlag, New York, Berlin, Heidelberg, 1984. | MR | Zbl

Cité par Sources :