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  • 1995-1999  (3)
  • 1990-1994
  • 1950-1954
  • Codazzi tensor  (2)
  • 1,2-bis-Dipyrrinon-9-yl-ethene  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Annals of global analysis and geometry 16 (1998), S. 189-202 
    ISSN: 1572-9060
    Keywords: Codazzi tensor ; index method ; topologyof surfaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We introduce the notion of (0,m)-Codazzi tensors relative to an affine connection which extends the well known concept for m = 2. On compact Riemannian surfaces of genus γ we determine the dimension of the R-vector space of traceless Codazzi tensors, which depends on m and γ only, additionally we extend these result for genus zero. We give some exemplary applications to submanifolds in affine and in Riemannian geometry and to Weyl geometries.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1434-4475
    Keywords: 1,2-bis-Dipyrrinon-9-yl-ethene ; b-homo-Verdin ; Mesobiliverdin-XIIIα
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Die Reaktion von 9-Methyl-10H-dipyrrin-1-onen mit Brom in Dichlormethan ergab in mäßigen Ausbeuten rotgefärbte Gallenfarbstoffderivate. Sie konnten strukturell als 1,2-bis-Dipyrrinon-ethene zugeordnet werden, die ein Beispiel für die bisher unbekanntenb-Homoverdine darstellen. Darüber hinaus konnten aus der Reaktionsmischung die entsprechenden Mesobiliverdine-XIIIα isoliert werden. Die mechanistischen Aspekte dieser Reaktion werden diskutiert.
    Notes: Summary Upon treatment of 9-methyl-10H-dipyrrin-1-ones with bromine in dichloromethane, red bile pigment derivatives were obtained in moderate yields. They were structurally assigned as 1,2-bis-dipyrrinon-9-yl-ethenes, which are examples of the hitherto unknownb-homo-verdins. In addition, the correspondingmeso-biliverdins-XIIIα could be isolated from the reaction mixture. The mechanistic aspects of the reaction are discussed.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of geometry 65 (1999), S. 130-142 
    ISSN: 1420-8997
    Keywords: 53 B 25 ; 53 C 42 ; 53 C 25 ; third fundamental form metric ; hypersurfaces in nonflat space forms ; Einstein metric ; Codazzi tensor ; isoparametric hypersurfaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For hypersurfaces with regular Weingarten operator in nonflat space forms we study the relations between the intrinsic geometry of the third fundamental form metric and the extrinsic geometry of the hypersurface. We prove a theorema-egregium-type result for this metric and, in particular, give a local classification of hypersurfaces in case of an Einstein structure of this metric.
    Type of Medium: Electronic Resource
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