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Title: Hypersurfaces in 4-dimensional Euclidean space (English)
Author: Hashimoto, Hideya
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 40
Issue: 2
Year: 1990
Pages: 315-324
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Category: math
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MSC: 53A07
MSC: 53B25
idZBL: Zbl 0709.53005
idMR: MR1046297
DOI: 10.21136/CMJ.1990.102383
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Date available: 2008-06-09T15:33:04Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102383
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Reference: [1] D'Atri, H. K. Nickerson: The existence of special orthonormal frames.J. Diff. Geom., 2 (1968), pp. 393-409. Zbl 0179.50601, MR 0248682, 10.4310/jdg/1214428656
Reference: [2] A. Gray: Einstein-like manifolds which are not Einstein.Geometriae Dedicata., 7 (1978), pp.259-280. Zbl 0378.53018, MR 0505561, 10.1007/BF00151525
Reference: [3] R. Harvey, H. B. Lawson., Jr.: Calibrated geometries.Acta Math., 148 (1982), pp. 47-157. Zbl 0584.53021, MR 0666108, 10.1007/BF02392726
Reference: [4] H. Hashimoto: Some 6-dimensional oriented submanifolds in the octonians.Toyama. Math. Rep., 11 (1988), pp. 1-19. Zbl 0664.53007, MR 0974250
Reference: [5] K. Nomizu: On hypersurfaces satisfying a certain condition on the curvature tensor.Tohoku Math. Journ., 20 (1968), pp. 46-59. Zbl 0174.53301, MR 0226549, 10.2748/tmj/1178243217
Reference: [6] M. Okumura: Certain almost contact hypersurfaces in Euclidean spaces.Kodai Math. Sem. Rep., 16 (1964), pp. 44-54. Zbl 0116.38901, MR 0162199, 10.2996/kmj/1138844859
Reference: [7] P. J. Ryan: Homogeneity and some curvature conditions for hypersurfaces.Tohoku Math. Journ., 21 (1969), pp. 363-388. Zbl 0185.49904, MR 0253243, 10.2748/tmj/1178242949
Reference: [8] K. Yano: The theory of Lie Derivatives and its Applications.North-Holland, Amsterdam, 1957. Zbl 0077.15802, MR 0088769
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