الفهرس الالي للمكتبة المركزية بجامعة عبد الحميد بن باديس - مستغانم
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recent synthetic differential geometry / h . busemann
Titre : recent synthetic differential geometry Type de document : texte imprimé Auteurs : h . busemann, Auteur Année de publication : 1970 Importance : 110 p Format : 24/17 cm Langues : Français (fre) Langues originales : Français (fre) Mots-clés : copmleteness , finite dimensionality, differentiability - lengh preserving maps - Résumé : A synthetic approach to intrinsic differential geometry in the large and its connections with the foundations of geometry was presented in "The Geometry of Geodesics" (1955, quoted as G). It is the purpose of the present report to bring this theory up to date. Many of the later ip.vestigations were stimulated by problems posed in G, others concern newtopics. Naturally references to G are frequent. However, large parts, in particular Chapters I and III as weIl as several individual seetions, use only the basic definitions. These are repeated here, sometimes in a slightly different form, so as to apply to more general situations. In many cases a quoted result is quite familiar in Riemannian Geometry and consulting G will not be found necessary. There are two exceptions: The theory of paralleIs is used in Sections 13, 15 and 17 without reformulating all definitions and properties (of co-rays and limit spheres). Secondly, many items from the literature in G (pp. 409-412) are used here and it seemed superfluous to include them in the present list of references (pp. 106-110). The quotations are distinguished by [ ] and ( ), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here. recent synthetic differential geometry [texte imprimé] / h . busemann, Auteur . - 1970 . - 110 p ; 24/17 cm.
Langues : Français (fre) Langues originales : Français (fre)
Mots-clés : copmleteness , finite dimensionality, differentiability - lengh preserving maps - Résumé : A synthetic approach to intrinsic differential geometry in the large and its connections with the foundations of geometry was presented in "The Geometry of Geodesics" (1955, quoted as G). It is the purpose of the present report to bring this theory up to date. Many of the later ip.vestigations were stimulated by problems posed in G, others concern newtopics. Naturally references to G are frequent. However, large parts, in particular Chapters I and III as weIl as several individual seetions, use only the basic definitions. These are repeated here, sometimes in a slightly different form, so as to apply to more general situations. In many cases a quoted result is quite familiar in Riemannian Geometry and consulting G will not be found necessary. There are two exceptions: The theory of paralleIs is used in Sections 13, 15 and 17 without reformulating all definitions and properties (of co-rays and limit spheres). Secondly, many items from the literature in G (pp. 409-412) are used here and it seemed superfluous to include them in the present list of references (pp. 106-110). The quotations are distinguished by [ ] and ( ), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here. Réservation
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Code-barres Cote Support Localisation Section Disponibilité F2-004783 516-070.2 Ouvrage Bibliothèque Centrale 500 - Sciences de la nature et Mathématiques Disponible CF2-003545 516-70.1 Ouvrage Bibliothèque Centrale 500 - Sciences de la nature et Mathématiques Exclu du prêt