Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Recent Synthetic Differential Geometry
.
Bookmark this Record
Catalogue Record 47179
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 47179
.
Reviews
Catalogue Record 47179
.
British Library
Resolver for RSN-47179
Google Scholar
Resolver for RSN-47179
WorldCat
Resolver for RSN-47179
Catalogo Nazionale SBN
Resolver for RSN-47179
GoogleBooks
Resolver for RSN-47179
ICTP Library
Resolver for RSN-47179
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Recent Synthetic Differential Geometry ([EBook] /) / by Herbert Busemann.
Author
Busemann, Herbert
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg, , 1970.
Physical Details
VIII, 112 p. : online resource.
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete
0071-1136 ; ; 54
ISBN
9783642880575
Summary Note
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.:
Contents note
I. Completeness, Finite Dimensionality, Differentiability -- 1. The Theorem of Hopf and Rinow -- 2. Geodesic Completeness. Local Homogeneity -- 3. The Topology of r-Spaces -- 4. Finite-Dimensional G-Spaces -- 5. Differentiability -- II. Desarguesian Spaces -- 6. Similarities -- 7. Imbeddings of Desarguesian Spaces -- 8. A Characterization of Hilbert’s and Minkowski’s Geometries -- III. Length Preserving Maps -- 9. Shrinkages, Equilong Maps, Local Isometries -- 10. Spaces without Proper Local Isometries -- 11. Proper Equilong Maps -- IV. Geodesics -- 12. Closed Hyperbolic Space Forms -- 13. Axes of Motions and Closed Geodesics -- 14. Plane Inverse Problems. Higher Dimensional Collineation Groups -- 15. One-Dimensional and Discrete Collineation Groups -- 16. Bonnet Angles. Quasi-Hyperbolic Geometry -- 17. Various Aspects of Conjugacy -- V. Motions -- 18. Finite and One-Parameter Groups of Motions -- 19. Transitivity on Pairs of Points and on Geodesies -- VI. Observations on Method and Content -- Literature.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-88057-5
Links to Related Works
Subject References:
Differential Geometry
.
Mathematics
.
Authors:
Busemann, Herbert
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Ergebnisse der Mathematik und ihrer Grenzgebiete
.
Classification:
516.36
.
.
ISBD Display
Catalogue Record 47179
.
Tag Display
Catalogue Record 47179
.
Related Works
Catalogue Record 47179
.
Marc XML
Catalogue Record 47179
.
Add Title to Basket
Catalogue Record 47179
.
Catalogue Information 47179
Beginning of record
.
Catalogue Information 47179
Top of page
.
Download Title
Catalogue Record 47179
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
47179
1
47179
-
2
47179
-
3
47179
-
4
47179
-
5
47179
-
Quick Search
Search for