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  • 1
    Electronic Resource
    Electronic Resource
    EMIS 2000: The European Mathematical Information Service and its developments (2001)
    Bradford : Emerald
    Online information review 25 (2001), S. 165-172 
    Details
    ISSN: 1468-4527
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Information Science and Librarianship
    Notes: The European Mathematical Information Service (EMIS) is a cooperative venture between several international partners under the umbrella of the European Mathematical Society (EMS). The main purpose of EMIS is to provide access to freely available information on mathematics in the Web. As an important part of EMIS an electronic library is stored on the main server and its mirrors, collecting all freely accessible electronic journals in mathematics combined with electronic versions of printed journals. It also contains electronic proceedings, volumes and monographs. This core content is embedded in, and linked with, an environment of comprehensive facilities for accessing mathematical research papers: literature information databases, projects for one-stop shopping sites for mathematics on the Web, freely available digital content of classical mathematical publications and access to electronic grey literature. The aim of this article is to describe this part of EMIS in some detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/14684520110395290
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  • 2
    Electronic Resource
    Electronic Resource
    Comment on ‘Euclidean hypersurfaces with reflection properties’ (1991)
    Springer
    Geometriae dedicata 39 (1991), S. 357-359 
    Details
    ISSN: 1572-9168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00150761
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  • 3
    Electronic Resource
    Electronic Resource
    Kennzeichnungen von Räumen konstanter Krümmung unter lokal konform euklidischen Riemannschen Mannigfaltigkeiten (1973)
    Springer
    Geometriae dedicata 2 (1973), S. 269-281 
    Details
    ISSN: 1572-9168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00181473
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Some global properties and constructions for closed curves in the plane (1989)
    Springer
    Geometriae dedicata 29 (1989), S. 317-326 
    Details
    ISSN: 1572-9168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This is an extended comment on the paper [1] by W. Cieślak and W. Mozgawa. It is shown that several theorems presented there for rosettes can be extended to a larger class of closed curves by using different methods of proof. Furthermore, the notion of rosettes of constant width is discussed in more detail and some classical constructions for convex curves of constant width are generalized to this class of curves.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00572448
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    On the rectangle property for plane continua and immersed topological hypersurfaces (1990)
    Springer
    Geometriae dedicata 33 (1990), S. 163-176 
    Details
    ISSN: 1572-9168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A subset of Euclidean space is said to satisfy the rectangle property if no rectangle has exactly three vertices in this subset. According to Besicovitch and Dnazer, circles are characterized by this property among convex curves. Here, more general characterizations of this type are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00183082
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  • 6
    Electronic Resource
    Electronic Resource
    Self-parallel and transnormal curves (1991)
    Springer
    Geometriae dedicata 38 (1991), S. 175-191 
    Details
    ISSN: 1572-9168
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The construction of examples of self-parallel curves from a closed central curve given by F. J. Craveiro de Carvalho and S. A. Robertson is extended to general closed regular curves without the assumption of non-vanishing curvature made there. Furthermore, every self-parallel curve in 3-space is shown to be of the type obtained by this construction, if the order of the self-parallel group is greater than 2. These considerations are used to present examples for transnormal curves in 4-space with arbitrarily high degree of transnormality, disproving a long-standing conjecture of M. C. Irwin.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00181217
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  • 7
    Electronic Resource
    Electronic Resource
    Comment on ‘a remark on totally vicious space-time’ (1989)
    Springer
    Journal of geometry 36 (1989), S. 188-188 
    Details
    ISSN: 1420-8997
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01231033
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  • 8
    Electronic Resource
    Electronic Resource
    A cyclographic approach to the vertices of plane curves (1994)
    Springer
    Journal of geometry 50 (1994), S. 186-201 
    Details
    ISSN: 1420-8997
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For a closed plane curveα the centers of distance functions are considered satisfying the condition that the function attains at least two absolute minima alongα. From the topology of the closure of this set some information on specific vertices of the curve can be obtained. If a simply closed curveα has a finite number of vertices only, then the structure of this set is given by a tree, composed from regular arcs, such that the end points of this tree belong to minimal osculating circles ofα, which entirely are located in the interior ofα. Furthermore, the curve can be reconstructed from this set as the envelope of a suitable family of circles. These relations are used to give alternative proofs and extensions of several known vertex theorems for closed curves.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222675
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  • 9
    Electronic Resource
    Electronic Resource
    Constant width and transnormality in spheres (1996)
    Springer
    Journal of geometry 56 (1996), S. 25-33 
    Details
    ISSN: 1420-8997
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The aim of this note is to investigate the behaviour of exterior and interior parallels at distanceε to a given convex body of constant width in the unitn-sphere. The boundaries of these bodies are 2-transnormal topological (n−1)-spheres. The range ofε is determined where these transnormal topological (n−1)-spheres bound convex bodies of constant width as well. In particular this leads to the following main result: LetC be a body of constant width (π/2)+x ε ((π/2), π) in the unit sphere Sn. ThenC contains a body C of constant width (π/2)−x such thatC is the closedx-neighborhood of C. Moreover, the bodyC is smooth.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222680
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  • 10
    Electronic Resource
    Electronic Resource
    Wackelige Gelenkwerke und wackelige Polyeder in Der sphärischen Geometrie (1985)
    Springer
    Journal of geometry 25 (1985), S. 39-48 
    Details
    ISSN: 1420-8997
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Infinitesimal rigidity and shakiness of jointed rodworks or polyhedra have been of major interest in recent research in geometry. In this paper structures of this type are investigated in spheres and projective spaces. A transformation is given showing that essentially no new structures occur in these spaces compared with the euclidean case. The main tool is the projective invariance of shaky structures. Shaky structures in euclidean space can be obtained as affine sections of shaky structures in a projective space of the same dimension.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222944
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