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Webs and almost-Grassmann structures. (English) Zbl 0516.53013


MSC:

53A60 Differential geometry of webs
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[1] S. S. Chern and P. A. Griffiths, ?Abel’s theorem and webs,? Jahresber. Dtsch. Math. Ver.,80, Nos. 1-2, 13-110 (1978). · Zbl 0386.14002
[2] S. S. Chern and P. A. Griffiths, ?An inequality for the rank of a web and webs of maximum rank,? Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),5, No. 3, 539-557 (1978). · Zbl 0402.57001
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[6] M. A. Akivis and V. V. Gol’dberg, ?A four-web and a local differentiable ternary quasigroup determined by a quadruple of surfaces of codimension two,? Izv. Vyssh. Uchebn. Zaved., Mat., No. 5, 12-24 (1974).
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[9] V. V. Gol’dberg, ?An almost-Grassmann manifold connected with a (n+1)-web of multidimensional surfaces,? Izv. Vyssh. Uchebn. Zaved., Mat., No. 8, 29-38 (1974).
[10] V. V. Gol’dberg, ?An (n+1)-web determined by n+1 surfaces of codimension n?1,? Progress in Science and Technology, Series on Problems in Geometry [in Russian], Vol. 7, VINITI (1975), pp. 173-195.
[11] W. Blaschke and G. Bol, Geometrie der Gewebe, Springer-Verlag (1938).
[12] W. Blaschke, Einführung in die Geometrie der Waben, Birkhäuser, Basel-Stuttgart (1955).
[13] M. A. Akivis, ?Webs and almost-Grassmann structures,? Dokl. Akad. Nauk SSSR,252, No. 2, 267-270 (1980).
[14] W. V. D. Hodge and P. Pedoe, Methods of Algebraic Geometry, Vols. I and II, Cambridge (1947 and 1952). · Zbl 0157.27501
[15] T. Hangan, ?Geometrie differentielle grassmannienne,? Rev. Roum. Math. Pures Appl.,11, No. 5, 519-531 (1966). · Zbl 0163.43402
[16] Yu. I. Mikhailov, ?A structure of almost-Grassmann manifolds,? Izv. Vyssh. Uchebn. Zaved., Mat., No. 2, 62-72 (1978).
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