×

Rigidity of webs. (English) Zbl 1048.53010

Grifone, Joseph (ed.) et al., Web theory and related topics. Singapore: World Scientific (ISBN 981-02-4604-8). 106-113 (2001).
The following theorems are proved: 1) A homomorphism of smooth (or analytic) webs which is differentiable at a point is smooth (or analytic) in a neighborhood of this point. 2) Every homomorphism between two 3-webs which is continuous is automatically smooth (or real analytic if the webs are analytic).
For the entire collection see [Zbl 0983.00024].

MSC:

53A60 Differential geometry of webs
PDFBibTeX XMLCite