@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, Serie 4, Volume 24 (1991) no. 1, pp. 57-112. doi : 10.24033/asens.1620. http://www.numdam.org/articles/10.24033/asens.1620/
[1] Exterior Differential Systems, Math. Sci. Res. Inst. Publ., Vol. 18, Springer-Verlag, New York, Berlin, Heidelberg, 1991. | MR | Zbl
, , , and ,[2] Existence of Metrics with Prescribed Ricci Curvature : Local Theory (Invent. Math., Vol. 65, 1981, pp. 179-207). | MR | Zbl
,[3] Connections with Prescribed Curvature [Ann. Inst. Fourier (Grenoble), Vol. 37, fasc. 4, 1987, pp. 29-44]. | Numdam | MR | Zbl
and ,[4] Existence Theorems for Analytic Linear Partial Differential Equations (Ann. of Math., Vol. 86, 1967, pp. 246-270). | MR | Zbl
,[5] Integrability Criteria for Systems of Non-Linear Partial Differential Equations (J. Differential Geom., Vol. 1, 1967, pp. 267-307). | MR | Zbl
,[6] Foundations of Differential Geometry, Vol. I, Interscience Publishers, New York, London, 1963. | MR | Zbl
and ,[7] 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] Lie Group Representations on Polynomial Rings (Amer. J. Math., Vol. 85, 1963, pp. 327-404). | MR | Zbl
,[9] Équations de Lie. II (J. Differential Geom., Vol. 7, 1972, pp. 117-141). | MR | Zbl
,[10] Prescribing the Curvature of a Principal-Bundle Connection (Ph. D. thesis, University of Pennsylvania, 1989).
,[11] Which 2-forms are Locally, Curvature Forms ? (Functional Anal. Appl., Vol. 16, 1982, pp. 235-237). | MR | Zbl
,[12] On the Ring of Invariant Polynomials on a Semisimple Lie Algebra (Amer. J. Math., Vol. 90, 1968, pp. 308-317). | MR | Zbl
,[13] Lie Groups, Lie Algebras and their Representations, Graduate Texts in Math., Vol. 102, Springer-Verlag, New York, Berlin, Heidelberg, 1984. | MR | Zbl
,Cited by Sources: