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Article

Title: On manifolds with connection (English)
Author: Kolář, Ivan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 23
Issue: 1
Year: 1973
Pages: 34-44
Summary lang: English
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Category: math
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MSC: 53B15
idZBL: Zbl 0258.53030
idMR: MR0315620
DOI: 10.21136/CMJ.1973.101143
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Date available: 2008-06-09T13:59:54Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101143
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Reference: [1] É. Cartan: Leçons sur la théorie des espaces à connexion projective.Paris 1937. Zbl 0016.07603
Reference: [2] С. Ehresmann: Applications de la notion de jet non holonome.CRAS Paris, 240, 397-399 (1955). Zbl 0064.16401, MR 0066735
Reference: [3] I. Kolář: Order of holonomy and geometric objects of manifolds with connection.Comm. Math. Univ. Carolinae, 10, 559-565 (1969). MR 0264539
Reference: [4] I. Kolář: Geometric objects of submanifolds of a space with fundamental Lie pseudogroup.Comment. Math. Univ. Carolinae, 11, 227-234 (1970). MR 0266081
Reference: [5] I. Kolář: On the torsion of spaces with connection.Czechoslovak Math. J., 21 (96), 124-136 (1971). MR 0293531
Reference: [6] I. Kolář: On the contact of spaces with connection.to appear in J. Differential Geometry. MR 0415660
Reference: [7] I. Kolář: Canonical forms on the prolongations of principle fibre bundles.Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). MR 0301668
Reference: [8] I. Kolář: On the prolongations of geometric object fields.An. Sti. Univ. "A1. I. Cuza" Iasi, 17,437-446(1971). MR 0305278
Reference: [9] I. Kolář: On the fundamental geometric object fields on submanifolds.(Russian), to appear. MR 0375113
Reference: [10] I. Kolář: On the absolute differentiation of geometric object fields.to appear in An. Polon. Math. MR 0326593
Reference: [11] I. Kolář: Higher order torsions of manifolds with connection.to appear in Arch. Math. (Brno). MR 0331265
Reference: [12] G. F. Laptěv: Differential geometry of imbedded manifolds.(Russian), Trans. Moscow Math. Soc. 2, 275-382 (1953). MR 0057601
Reference: [13] A. Švec: Projective Differential Geometry of Line Congruences.Prague 1965. MR 0199806
Reference: [14] A. Švec: Cartan's method of specialization of frames.Czechoslovak Math. J., 16 (91), 552-599 (1966). Zbl 0156.20601, MR 0229172
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