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Yano, Kentaro

Affine connexions in an almost product space. (English) Zbl 0085.16502

Kōdai Math. Semin. Rep. 11, 1-24 (1959).
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Keywords:

Riemannian manifolds
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\textit{K. Yano}, Kōdai Math. Semin. Rep. 11, 1--24 (1959; Zbl 0085.16502)
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References:

[1] DIENES, P.:On the fundamental formulae of the geometry of tensor submani-folds. Journ. Math. Pures et Appl. (9) 11 (1932), 255-282. Zentralblatt MATH: · Zbl 0005.31101
[2] ECKMANN, B.:Sur les structures complexes et presque complexes. Coll. Int C. N. R. S. Geom. Diff. Strasbourg (1953), 151-160. · Zbl 0053.11903
[3] ECKMANN, B., AND A. FROLICHER: Sur Fintegrabilite des structures presqu complexes. C. R. Acad. Sci. Paris 232 (1951), 2284-2286. · Zbl 0042.40503
[4] EHRESMANN, C. :Sur les varietes presque complexes. Proc. Int. Congr. Math (1950), 412-419. · Zbl 0049.12904
[5] FROLICHER, A. : Zur Differentialgeometrie der komplexen Strukturen. Math Ann.129 (1955), 50-95. · Zbl 0068.35904
[6] HAYDEN, H. A.: Subspaces of a space with torsion. Proc. London Math. Soc (2) 34 (1934), 27-50. · Zbl 0005.26601
[7] ISHIHARA, S., AND M. OBATA : On manifolds which admit some affine connexion Journ. of Math. 1 (1953), 71-76. · Zbl 0053.29801
[8] LIBERMANN, P. :Problemes d’equivalence relatif a une structure presque com plexe sur une variete a quatre dimensions. Bull. Acad. Roy. Belgique 36 (1950), 742-755. Zentralblatt MATH: · Zbl 0057.38204
[9] Sur le probleme d’equivalence de certaines structures infinitesimales re gulieres. These (1954). · Zbl 0056.15401
[10] Sur les structures presque complexes et autres structures infinitesimales re gulieres. Bull. Soc. Math. France 83 (1955), 195-224. · Zbl 0064.41702
[11] NEWLANDER, A., AND L. NIRENBERG: Complex analytic coordinates in almos complex manifolds. Ann. of Math. 65 (1957), 391-404. · Zbl 0079.16102
[12] NIJENHUIS, A. :Jfn-i-forming sets of eigenvectors. Proc. Kon. Ned. Akad. va Wet., 54 (1951), 200-212. · Zbl 0042.16001
[13] SCHOUTEN, J. A. : Ricci Calculus. Springer (1954) · Zbl 0403.53007
[14] VRANCEANU, G., : Les espaces non holonomes. Mem. Sci. Math., Fasc. 77 (1936) · JFM 62.1475.02
[15] WALKER, A. G. : Connexions for parallel distributions in the large. Quart Journ. Math. (2) 6 (1955), 301-308. · Zbl 0066.40203
[16] WALKER, A. G., Connexions for parallel distributions in the large (II). Ibid. (2) 9 (1958), 221-231 · Zbl 0093.35702
[17] WILLMORE, T. J. : Connexions for systems of parallel distributions. Ibid. (2 7 (1956), 269-276. · Zbl 0074.38001
[18] Parallel distributions on manifolds. Proc. London Math. Soc. (3) 6 (1956), 191-204 · Zbl 0070.38804
[19] YANO, K. : Sur les espaces non holonomes totalement geodesiques. C. R. Acad Sci. Paris 205 (1937), 9-12. · Zbl 0016.41901
[20] Quelques remarques sur les varietes a structure presque complexe. Bull. Soc Math. France 83 (1955), 57-80. · Zbl 0066.16101
[21] YANO, K., AND ST. PETRESCU: Sur les espaces metriques non holonomes com plementaires. Disqui. Math. Phys. 1 (1940), 191-246. Zentralblatt MATH: · Zbl 0025.08601
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