Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • 1970-1974  (5)
Source
Material
Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    Transnormale Isotopien und transnormale Kurven (1971)
    Springer
    Manuscripta mathematica 4 (1971), S. 361-372 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For transnormal manifolds which admit a nontrivial decktransformation leaving the transnormal frames invariant there is a natural construction of “parallel” transnormal manifolds. Generalizing a result of M. C. IRWIN [3] this construction is applied to show that every transnormal embedding of a 1-sphere is isotopic through transnormal embeddings to a spherical embedding. Moreover we show that the transnormal frame of a transnormal curve has only a finite number of points.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01168703
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Krümmungseigenschaften transnormaler Mannigfaltigkeiten (1970)
    Springer
    Manuscripta mathematica 3 (1970), S. 375-390 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In [6] ROBERTSON introduced the notion of a transnormal manifold as a generalization of a compact connected closed hypersurface of constant width in Euclidean space. This paper includes a detailed proof of the fact that the projection of a transnormal manifold on its space of normal planes is a covering map. Furthermore we prove the following generalization of a property of closed convex hypersurfaces of constant width: If two points p, q of a transnormal manifold have the same normal plane, then (for a suitable choice) the sum of the corresponding radii of principal curvature in direction of the common normal line is equal to the distance of p and q. Finally there are given examples of transnormal manifolds, which do not possess minimal total absolute curvature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01168293
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Decktransformationen transnormaler Mannigfaltigkeiten (1971)
    Springer
    Manuscripta mathematica 4 (1971), S. 179-199 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For every transnormal m-manifold V (see [3] or [7]) in ℝn ν:V→W, mapping pεV into its normal plane ν(p) is a covering map onto a submanifold W of the open Grassmannian Hn,n−m of all (n−m)-dimensional planes in ℝn. The transnormal frame T:=ν−1(ν(p)) admits a transitive operation by a group J of isometries. The group action of the covering transformations of (V,ν,W) on T commutes with the action of J. The elements of J, which are restrictions of covering transformations to T, are exactly the elements of the centre of J. This property is applied to show the existence of nontrivial covering transformations of (V,ν,W) for n−m≦3.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01169411
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Eine Bemerkung zur Integralformelmethode (1972)
    Springer
    Archiv der Mathematik 23 (1972), S. 324-328 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01304889
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    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
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...