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  • 1
    Electronic Resource
    Electronic Resource
    On Two Parameter Envelopes of n-Spheres in a Real Spaces Form (1999)
    Springer
    Geometriae dedicata 75 (1999), S. 301-316 
    Details
    ISSN: 1572-9168
    Keywords: hypersurfaces ; envelopes of shperes ; Weingarten relations ; mean curvature ; focal surfaces.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this work we are mainly concerned with the study of special 2-parameter envelopes M n (n≥ 4) of n-spheres in a simply connected space form Q c n+1 (c = 0, 1 or −1) which satisfy the Weingarten relation A + BH + CK = 0 between the mean curvature H and the Gauss–Kronecker curvature K of the immersion x : M n → Q c n+1 , where A, B and C are real constants; such a relation includes the case H constant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1005171620545
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