On the Blaschke Conjecture for 3-Webs
Permanent lenke
http://hdl.handle.net/10037/2055Dato
2004-11-21Type
Journal articleTidsskriftartikkel
Peer reviewed
Forfatter
Lychagin, Valentin V.; Goldberg, Vladislav V.Sammendrag
We find relative differential invariants of orders eight and nine for
a planar nonparallelizable 3-web such that their vanishing is necessary
and sufficient for a 3-web to be linearizable. This solves the Blaschke
conjecture for 3-webs. As a side result, we show that the number of
linearizations in the Gronwall conjecture does not exceed fifteen and give
criteria for rigidity of 3-webs.
Beskrivelse
Dette er forfatternes aksepterte versjon.
Forlag
Springer New YorkSitering
Journal of Geometric Analysis DOI: 10.1007/BF02930988Metadata
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