Skip Navigation

Journal of the London Mathematical Society 1991 s2-44(2):360-372; doi:10.1112/jlms/s2-44.2.360
© 1991 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Le, H.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© Oxford University Press

On Geodesics in Euclidean Shape Spaces

Huiling Le

Gonville and Caius College Cambridge CB2 1TA

The overall geometry of the shape spaces Formula, has been studied in [2,4], while the riemannian metric for each Formula, is given in [5]. The aim of this paper is to explore the geodesic geometry of Formula, especially when 2 ≤ m ≤ k–1. One of the main results is the identification of the cut-locus for each non-singular point in Formula. We also obtain an extension of Casson's theorem concerning Formula.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.